static const uint32_t in_com1[1600] = {
    0x3d90b48a, 0x3e22fa49, 0x3d1bcfca, 0xbee6c0a2,
    0x3f1976e1, 0xbe1c2f04, 0x3ee55642, 0x3d7b6d06,
    0x3e83ac6a, 0xbea4a802, 0x3f160888, 0x3db2690c,
    0x3d35ee32, 0x3dd4a920, 0x3e8a7a13, 0xbe93b64d,
    0x3e97472b, 0x3e64d4ae, 0xbceddd74, 0xbf128403,
    0x3d78183e, 0x3e3b699c, 0x3d06dee6, 0x3e39c20f,
    0x3ed37749, 0x3da9b6aa, 0xbf4509a4, 0x3f00fdbe,
    0x3b7c923f, 0xbdb75ada, 0xbece9517, 0xbe39bfc5,
    0xbbe64a3a, 0x3d752559, 0xbf06fc34, 0xbec95779,
    0x39ce2d5e, 0xbeaec2a1, 0x3d2806c0, 0xbc044e5f,
    0x3da9c94f, 0x3ef670f0, 0x3dd28d2a, 0xbdfeea37,
    0x3e5fe977, 0xbe6c9d99, 0xbcc1ac1e, 0xbe1b7376,
    0xbe3b8a63, 0xbcab72a0, 0x3e237d49, 0xbd1835eb,
    0xbf1bda79, 0x3c68eb04, 0xbe913ce3, 0x3f104c7b,
    0xbeace959, 0x3dcb21ef, 0xbda2f28a, 0x3eaf60ad,
    0xbeeee689, 0xbe8ec4e5, 0x3ef6ea3e, 0x3dc2ad6a,
    0xbdc46ce9, 0x3ec1b65c, 0xbe55a9d8, 0x3ecabf7b,
    0xbdfb4d7f, 0xbda53129, 0xbb81b69a, 0xbe26f386,
    0xbc33efeb, 0x3e4e6853, 0x3e5c08a0, 0xbe5ea0ed,
    0xbe846757, 0x3e82a976, 0x3ee35e50, 0xbf113912,
    0x3f1b86b9, 0xbece24bb, 0xbe2ca18a, 0xbe9de984,
    0x3f1ee783, 0xbe615bfb, 0x3bab3c2c, 0xbe8c1bae,
    0x3db0e5ac, 0xbe6435c8, 0xbc134536, 0x3e75809f,
    0xbefb2041, 0xbdef9011, 0xbebe99bb, 0x3e5f38f4,
    0x3f0b5eef, 0xbdca62cc, 0x3f2be4ae, 0xbd955031,
    0xbe1a0f8a, 0x3ed68776, 0x3deed455, 0xbe1d552f,
    0x3d1128d7, 0x3da9cd67, 0xbdc7cd3f, 0x3e8ea997,
    0x3ef76b2f, 0x3d6ab0c7, 0x3d6d936f, 0x3b9d52a1,
    0xbe80742f, 0x3e5319e9, 0x3e87121b, 0x3f505808,
    0x3f13df62, 0x3bce23b6, 0x3cd0e3b2, 0x3e47bacf,
    0x3e493b0d, 0x3e1bd6cd, 0xbef9ca31, 0x3efe47c4,
    0xbca3f862, 0xbeccee0b, 0x3edf63c7, 0xbdadbc4e,
    0x3f089bc5, 0x3eb659c1, 0xbeec0a67, 0xbea61bae,
    0x3e4e8896, 0xbe13f2ce, 0x3d9a2500, 0x3d397efa,
    0xbd90b23a, 0xbe89fe2d, 0x3ea97140, 0x3e230e32,
    0x3d8e0ee7, 0xbd4fab0a, 0x3dd7fab3, 0x3ec3e0c1,
    0x3e0e891d, 0xbe5c0140, 0xbe4bb088, 0x3d83ee01,
    0xbd45dacd, 0x3eb6cc85, 0xbd3925b6, 0xbebf1f5c,
    0x3c8878f8, 0xbd90b56c, 0x3df58afb, 0xbcbceed7,
    0x3e9e4114, 0x3e885361, 0xbe43b51c, 0xbf0861b0,
    0xbeafda51, 0xbeceb028, 0xbdcb5a83, 0xbeb9114c,
    0xbc794099, 0xbea23b3a, 0x3e4bcfcb, 0xbc266a7b,
    0xbdd25425, 0xbdd831fe, 0x3f000e08, 0x3de5145f,
    0xbe7bad7a, 0xbdfd9a97, 0x3eedbacd, 0x3e61e7b2,
    0xbe85bf0c, 0xbf314a7b, 0x3d9bff7f, 0xbb86150e,
    0xbcdea0c4, 0xbe54136b, 0xbd478f39, 0xbd837e20,
    0xbf31fabf, 0xbf2f7d94, 0x3f0cb3f9, 0x3e5be94e,
    0xbec6fed9, 0xbe76f99a, 0xbf0a0c04, 0x3f039caf,
    0x3e839697, 0xbf2e5417, 0x3d8ec418, 0xbf43a856,
    0x3e67f49a, 0xbe51edc0, 0xbf5566e1, 0xbec61692,
    0xbeafb1de, 0x3ba58183, 0xbedd94ff, 0xbe6c6c98,
    0xbe03c371, 0xbd514a6d, 0xbed3d5cd, 0xbd563764,
    0xbe38f97a, 0x3ed6481d, 0x3e0b53ca, 0xbe6a4e1c,
    0x3d77cfbe, 0xbe44af7c, 0x3cfc30b8, 0xbde9ac3a,
    0x3eff73b3, 0x3e5c2ac1, 0xbe1d27f5, 0xbeef1877,
    0x3e36b1dc, 0xbd48472e, 0x3ca0d453, 0xbe7d2d4d,
    0x3e2bd3d4, 0x3e84ff8d, 0xbf2aaa09, 0x3efbd1de,
    0xbed2a225, 0xbf2873be, 0xbebf6164, 0x3c70295e,
    0xbec574e0, 0x3e03c7fd, 0xbed2db8d, 0xbf00a7df,
    0x3bdcf499, 0x3db4f255, 0xbeb409c1, 0x3ea4e518,
    0xbbcb1912, 0xbec76764, 0x3da32db2, 0xbd5c898b,
    0xbe04febb, 0xbf497b04, 0x3cac7d3b, 0xbf496ca5,
    0x3ea16bf5, 0x3e77f09d, 0x3e0b3501, 0x3e59d27e,
    0xbeeeb565, 0x3f1f95f2, 0xbe4cbcc2, 0x3e41fefd,
    0x3f0a2b5d, 0x3ece212c, 0x3e84d0f7, 0x3eb5fb17,
    0x3ef8e98d, 0x3ea9614f, 0x3ed2d288, 0x3cbefa7a,
    0xbdf4f1fe, 0xbd7a4268, 0xbe54cf30, 0xbea333ca,
    0x3dcc08b3, 0xbbb25f94, 0xbe644b92, 0x3ebd59b0,
    0x3f385617, 0x3f1f065d, 0xbec22166, 0xbd800b82,
    0xbe7c5da3, 0x3d9f33e2, 0x3f204a88, 0x3ee931c7,
    0x3e119c4d, 0x3efa73ac, 0xbf2eb093, 0xbec369cc,
    0xbe86e9ad, 0xbe26d867, 0x3f1b212e, 0x3e1a6361,
    0x3d0feb16, 0xbe36dc34, 0x3f091283, 0xbe55bee9,
    0x3f23a578, 0x3e58871b, 0x3eefaeca, 0x3f2d5726,
    0x3e9d6a62, 0xbea86938, 0x3e88bb6f, 0x3c82db28,
    0x3e8bb1fd, 0xbd7dad3c, 0x3e61e915, 0x3d360d80,
    0xbebb2ac9, 0x3e3fc9d2, 0xbeb7ff0e, 0x3f1eae5f,
    0xbe1941d0, 0x3e3c31e7, 0xbe60cc74, 0xbeb8861e,
    0x3d8f55ea, 0x3f1d9ad4, 0xbf0a3abc, 0x3edb05b1,
    0x3f0e8507, 0x3efcfce0, 0x3eff6d17, 0x3e5c2c6d,
    0x3e281d4e, 0x3e76fc7e, 0xbdedb0c3, 0xbed0b636,
    0x3e5eaedd, 0xbee0c5f0, 0xbdd2acac, 0x3e212916,
    0xbd0867a3, 0x3e0be091, 0x3edfcace, 0xbe95287f,
    0xbe0c922d, 0x3eef0a4d, 0xbe9a4935, 0x3f1483ae,
    0x3e3fb075, 0x3e7e3645, 0xbe3b1dd3, 0x3eee9465,
    0xbf0ed8d1, 0x3ca0b794, 0x3d212585, 0x39a9201b,
    0x3f0f63f4, 0xbd164ef7, 0x3e16668f, 0xbeb3d5f9,
    0x3e07d197, 0xbeefd251, 0xbe593312, 0xbea5fa10,
    0xba478d2b, 0xbe3e662e, 0xbee89bb6, 0xbcb8caa7,
    0x3e17a5f0, 0xbe89ff58, 0xbd927294, 0x3e28e28d,
    0x3d02e571, 0xbf4c4c1a, 0xbe0d0fb9, 0x3dd441b0,
    0xbe0b5e12, 0xbe96bbef, 0xbe89f0d7, 0x3e1642f4,
    0xbf54d814, 0xbea96d78, 0x3ef17bb7, 0xbe6bd3f8,
    0xbd8f9a15, 0x3da206a9, 0xbe8eb086, 0xbde0a598,
    0x3ea2742e, 0x3dbe39d6, 0xbe27d38f, 0x3e8a782b,
    0x3ea8f857, 0xbe8e52ff, 0xbf08e697, 0xbe86f4d2,
    0xbe704a53, 0x3e6a29a4, 0x3e4be03e, 0x3d462985,
    0x3d8cbb03, 0x3e44d6a4, 0x3e3d40b5, 0xbec659b9,
    0xbed6e7ee, 0x3e89597f, 0x3dd65678, 0xbdff1ab4,
    0x3ed5ba23, 0x3e0da65a, 0xbeab4e63, 0x3ca05110,
    0x3d647dd9, 0xbedf0b2b, 0x3d872c06, 0x3ccc1c5e,
    0xbe104a63, 0x3e408e50, 0xbe1f53e8, 0x3d219cd8,
    0x3ccba529, 0xbe97fe60, 0x3eca35b2, 0xbd94867f,
    0x3e96c6e4, 0x3e3e89e3, 0x3e779aa0, 0x3e1e71ca,
    0xbe7b8fea, 0xbf4cd18e, 0x3df2ffef, 0xbde12576,
    0xbe48eb7c, 0x3e8a5d2b, 0x3d4d1103, 0xbf1bfcf5,
    0x3e4d2b97, 0xbdc8b22f, 0x3eac33f8, 0xbe9a05ac,
    0x3dcbb3f4, 0xbefe8947, 0x3e2d2471, 0x3e3e8ef3,
    0xbd669197, 0x3ea7632d, 0xbe25587e, 0xbdd988ed,
    0xbef5ab07, 0x3d941d80, 0xbe84948a, 0xbd30dca5,
    0xbe55c854, 0x3d9df0d5, 0x3eb46b24, 0xbee337ee,
    0xbd1a82c3, 0x3e4ffe5d, 0xbef63c1e, 0x3c3a99b8,
    0xbd848db5, 0xbf39196a, 0x3e9fd7df, 0x3e533834,
    0xbdefc217, 0xbe90fd40, 0x3e9d131c, 0x3debccdb,
    0x3e04186c, 0x3f1d7d74, 0xbe22d315, 0x3e13ee37,
    0x3f0e3f89, 0xbdadc1bf, 0x3e4580b1, 0x3eea89f8,
    0x3e8c1dff, 0x3e6afa4a, 0xbde7ed0c, 0x3d5ce1d8,
    0x3d4a34be, 0xbdccb215, 0x3e8c2b8a, 0x3eb9b8fb,
    0xbee09316, 0xbd5d1ffa, 0x3d93d5ac, 0x3f04b012,
    0x3ea2a446, 0xbeb8b0cc, 0x3e681fa2, 0x3eb6088b,
    0xbe62ebcd, 0x3e0601b7, 0x3e4d5340, 0xbe79ef12,
    0x3f0b4e16, 0xbdd9e7c2, 0x3e9f63e8, 0xbe313c17,
    0xbecd4c4c, 0x3e2ccd24, 0xbd9f380f, 0xbe2fbff9,
    0x3ea8cb42, 0xbe507829, 0x3e2f5267, 0xbe9c3c0c,
    0x3f279448, 0x3f21377d, 0xbe875231, 0x3ddca8c5,
    0xbdb6ff06, 0x3f1aa909, 0xbcfb1a3f, 0x3ec343a2,
    0xbcf8d0c5, 0xbf0d5dff, 0x3c85a024, 0xbd09d772,
    0xbe305e7e, 0xbe25fd38, 0x3b8523bc, 0xbf5d88d6,
    0xbdc35dfc, 0xbd8cc647, 0xbc750441, 0x3e9dd3a1,
    0xbec89438, 0x3bbaaa20, 0x3d887a0d, 0xbdff51bb,
    0x3f2350df, 0xbe257da9, 0x3e5d8014, 0xbdb31597,
    0xbef7ecfa, 0xbf0afca8, 0x3e1f5e8f, 0x3e0c62d9,
    0x3db3269e, 0x3e6d250c, 0x3b2632a1, 0x3d950c44,
    0xbefe175a, 0x3efd3097, 0x3e27639a, 0x3df564e2,
    0x3dab6bed, 0xbd51d2f1, 0xbe8e7d2e, 0xbeee5494,
    0x3e377b7d, 0x3eff1e06, 0xbe1b04b5, 0x3de11cef,
    0xbf068ad2, 0xbd7a16f2, 0x3f27143e, 0xbf2f401f,
    0x3ecdb44e, 0x3f18bf0e, 0x3e6919dd, 0xbd9f7f36,
    0x3dfdf2f4, 0xbe4fd91d, 0x3e040f0e, 0xbdec974d,
    0x3edea0ab, 0x3dcd0e6e, 0x3caad4bf, 0xbc82e2d0,
    0x3d0cba5a, 0xbeb84099, 0x3e591797, 0x3eda49ae,
    0x3ea06503, 0x3e3936e4, 0xbe7e7cf2, 0xbda974f8,
    0xbf27bb84, 0x3f2d5787, 0xbe828a12, 0x3e87db38,
    0xbd3ee91d, 0x3de9b4c3, 0xbe2fed7b, 0xbe6ab1f0,
    0x3e0858b1, 0xbd6782fa, 0x3f39f1ce, 0xbdc79236,
    0x3e19331e, 0xbcebc121, 0x3f146bf8, 0xbec33ea5,
    0x3f331e9d, 0x3da401f6, 0xbf1746a7, 0x3c4887d9,
    0x3f2a6114, 0x3f064144, 0x3e8ee766, 0xbef6f67a,
    0xbf4d3563, 0xbeec04a8, 0x3cddfb24, 0x3ec8b92b,
    0xbf0087ed, 0xbdea5665, 0x3f340ff0, 0x3ecd61ff,
    0x3f2732cc, 0x3e823316, 0x3e9566bc, 0x3e9fddfd,
    0xbf30db88, 0x3b4485ba, 0xbdb449fe, 0xbde48dab,
    0x3ec2d864, 0x3e403ace, 0xbdab18c0, 0x3c51ff49,
    0x3f746abc, 0xbe282d51, 0x3e6aa488, 0x3e5ee815,
    0xbeaa26e7, 0xbe4072ca, 0x3e0fb6c3, 0x3f3611df,
    0xbd9ff914, 0xbecb2cbf, 0x3e39bd7a, 0xbeb77e7e,
    0x3c9ba81a, 0x3ec9fc1d, 0xbc2142e8, 0x3d747d0e,
    0x3eb256e7, 0x3d3fe32a, 0x3e1df124, 0xbea2182a,
    0xbeb3de17, 0xbea1d0d8, 0x3bb9bbcb, 0xbf03a74a,
    0xbe2d6868, 0xbe4beacb, 0x3e556230, 0x3f165f7e,
    0xbe8f7adf, 0xbd8bc202, 0x3dca57cc, 0x3e4b88f9,
    0xba036263, 0x3f2ba09e, 0xbdfbdf81, 0x3bba43f4,
    0xbdb61ff9, 0x3e1b29f3, 0xbe96adba, 0xbee8283c,
    0xbe273dd7, 0x3ebe11ef, 0xbe35d9a2, 0x3e1d65e2,
    0x3ee1151e, 0x3f060227, 0x3cdadcbd, 0x3eaa458e,
    0x3efa5b17, 0xbead834e, 0xbeb138ea, 0x3e333b7b,
    0xbd9a305e, 0x3e3a825f, 0x3e86f8d2, 0x3e573e39,
    0x3db19961, 0xbf128ce0, 0x3e49a50b, 0x3df18a11,
    0xbd178371, 0x3ebc647e, 0x3e7d012b, 0xbe57e767,
    0x3e64d929, 0x3e8fd2a9, 0x3f0011a2, 0xbe20003a,
    0xbef9689c, 0x3e514385, 0x3d20b8ca, 0x3e29ec01,
    0xbeff2973, 0xbd8b0bb0, 0xbefa482c, 0x3e25d2b0,
    0xbe0ac36f, 0x3e948859, 0xbeaa10f3, 0xbefbf244,
    0xbd92aa11, 0xbd34cf89, 0x3e42930f, 0x3ec72850,
    0x3d672a76, 0xbe8be0a1, 0x3e01fba7, 0xbee6746a,
    0x3c63c112, 0xbcb54e42, 0x3f7ee0a9, 0x3e74b107,
    0x3e9b49ff, 0x3edc3b4c, 0x3e63b0c4, 0x3db7a7a5,
    0xbd8dc308, 0x3f5139c6, 0xbe7b57ba, 0xbc8c1ee1,
    0x3bc66d5e, 0x3e9de3ef, 0x3dba04a0, 0xbf143929,
    0xbe0fb9f8, 0xbf022d59, 0x3e3b94ce, 0x3e91d5c5,
    0x3ee610a0, 0xbd853668, 0x3e7956d8, 0xbec86205,
    0xbe07d3c4, 0xbeaf2b44, 0xbcd78e31, 0x3c1df810,
    0xbed584b7, 0x3e3a47ff, 0x3f02cdf0, 0xbdfb02d7,
    0xbe6ed437, 0xbf153f9e, 0x3e848b52, 0x3e9f0702,
    0xbccfbdef, 0x3d1ece3e, 0x3c6554b3, 0x3de494a8,
    0x3e02b054, 0xbd727b56, 0x3e82d300, 0xbdcfc5df,
    0x3e7a1b32, 0x3f4c498d, 0x3e8b539f, 0xbe7e7f0b,
    0x3ea748d5, 0x3e83d5b6, 0xbedabc03, 0x3d05365c,
    0x3e709312, 0x3dec3086, 0xbceae33e, 0xbe48fecb,
    0x3d8052ad, 0x3eadaee1, 0x3d32d6d4, 0x3ed55974,
    0xbf44d859, 0x3dd662e9, 0xbeae7fba, 0xbefb5a11,
    0xbee90d8b, 0x3f461e8b, 0x3cb4b621, 0x3e6dce81,
    0xbec07cc6, 0xbeb51d77, 0x3f18a7bc, 0xbe4a2175,
    0xbf0e2b6e, 0xbebe86b3, 0xbe2746d4, 0xbd548fe6,
    0xbea04d8c, 0xbcf2762c, 0x3ea279e1, 0xbd9236f6,
    0xbd88a8f4, 0xbf121947, 0x3ef7e76d, 0xbd9c107c,
    0xbf05dc28, 0x3f0eea26, 0x3e814c96, 0xbef4959e,
    0xbdaeac96, 0xbea033fd, 0xbcf9ba67, 0xbe452803,
    0xbf66dbce, 0x3dbfae97, 0xbb136fc9, 0x3d449827,
    0xbe289ea0, 0x3e23b188, 0x3de88a48, 0x3e9fcf7e,
    0xbed8905a, 0x3ea28a9d, 0x3bfda649, 0x3e0e9fcf,
    0xbe71a2e1, 0x3f1db50a, 0x3e0536e3, 0x3e5c89f8,
    0x3d82f6b0, 0xbe7dabd3, 0xbd036c6d, 0xbf27bb24,
    0x3d45c0ca, 0x3d5cfcd2, 0x3e2d7b8d, 0xbe1452b8,
    0xbdb26d60, 0xbe9d55a6, 0xbed09318, 0xbf0d0bdf,
    0x3c7f3786, 0xbd64f97e, 0x3e857f0a, 0x3e25b19e,
    0x3c8d73ff, 0x3eca8b0f, 0x3cf53359, 0xbf16ff0f,
    0xbe02df87, 0x3ef3d609, 0x3ecaa1a0, 0x3dc92dda,
    0x3edfcf1b, 0x3e45f908, 0x3e877ea6, 0x3e6e7496,
    0xbe0f4412, 0x3dedac60, 0x3da8724e, 0x3f04246b,
    0x3c652970, 0x3ec44031, 0x3efcb2f3, 0x3c22590f,
    0x3d9320b1, 0xbedf1317, 0x3e95bb2b, 0xbee9578c,
    0xbf44485b, 0x3e209d1d, 0xbe21d038, 0xbed9b5f9,
    0xbb106b6d, 0x3e4fdb9b, 0x3ea6c028, 0x3e39cc8b,
    0xbda264e5, 0xbe370265, 0x3e991dd6, 0xbdee5f0a,
    0x3d12ca3b, 0x3c3e53d8, 0xbf31bde1, 0x3e18ec50,
    0x3e516318, 0xbc76a32e, 0xbe8c0f91, 0x3e8078a9,
    0xbe837655, 0xbeaaec8b, 0x3f1b82a0, 0x3da11edf,
    0xbec9bfc4, 0xbf253c96, 0x3ed09089, 0xbf250628,
    0xbe679a80, 0xbdf26d2f, 0xbe55382b, 0xbe3b199b,
    0x3e85e3a5, 0xbc5bb117, 0x3d001767, 0x3e11870b,
    0xbed9bd5a, 0xbd28bb60, 0x3d1f1629, 0xbcbe980c,
    0xbdad42fb, 0x3ca7162d, 0x3da8d847, 0xbebe6d91,
    0x3e57aeb0, 0xbe07424e, 0xbe92de9b, 0xbdb408f1,
    0x3e43a303, 0xbf052f4e, 0xbe6fd44f, 0xbe124f6c,
    0x3e23c708, 0x3dd4e219, 0xbdf23dce, 0xbe7a61ec,
    0xbe30bb8c, 0x3ea2e770, 0x3f5ce47d, 0xbe351fe0,
    0xbea5537c, 0xbe68b7ba, 0x3e7c3af7, 0xbeb53b72,
    0x3ea7124f, 0xbe8000ae, 0x3dd05682, 0x3e6a07e0,
    0xbe8ba61b, 0x3d807e0c, 0x3f25fa91, 0xbd1a580f,
    0x3dcbd281, 0x3d56121f, 0x3e424eaf, 0x3e2173b0,
    0xbe2866b5, 0xbec629fb, 0xbf507b49, 0x3ea9a89e,
    0x3e7c5435, 0x3d53d710, 0x3ec50446, 0x3d18b663,
    0xbecbdde5, 0x3d502925, 0xbf5dfa37, 0x3d62c4da,
    0x3d9baceb, 0xbee93456, 0xbf147be7, 0xbdcb9357,
    0x3ee7f1c0, 0xbf09f0fe, 0x3e77cecd, 0x3e0a4602,
    0x3c0d0c75, 0xbdb3f918, 0xbf375e93, 0x3e09fd1b,
    0xbf1cc723, 0x3eb56923, 0xbe069263, 0x3e09581a,
    0xbe1a69d5, 0x3dd2ddaa, 0x3c5871f2, 0x3c8ad851,
    0x3e83aaa1, 0xbb93d8ba, 0x3f230fc8, 0xbe38abc0,
    0xbeef327f, 0xbd6ad3e8, 0x3d934633, 0x3efb7389,
    0x3ef5a0ea, 0xbedaeddb, 0xbda06495, 0x3e6d0e6b,
    0xbda3d00c, 0x3e3dcca8, 0x3c1fbf5b, 0x3e0f10a4,
    0xbc160e80, 0xbef29b12, 0xbf5ee4d8, 0x3eec63b6,
    0x3dc0d66d, 0x3e9113ff, 0x3f2b9778, 0x3ea042d9,
    0xbe2c19e0, 0x3f53068d, 0xbe8e725f, 0xbf6a823c,
    0x3e7bd04e, 0xbce3c624, 0x3e8729c3, 0xbe4ecd2a,
    0xbd84d573, 0x3dd4c982, 0x3da07db5, 0x3ea3402e,
    0xbe81e329, 0xbeb5a3b6, 0x3eed7097, 0x3d923e0d,
    0x3d2792c4, 0x3e115ceb, 0x3c938c90, 0xbe23fdb4,
    0x3e873e44, 0x3dc20723, 0xbf01a709, 0xbeb9cb49,
    0x3ea28b09, 0xbd6ff974, 0xbf0c58e7, 0x3e175ef4,
    0xbf7cfb55, 0x3f1cf730, 0x3ee0cab7, 0xbea85c32,
    0x3ec5c97c, 0x3ee6ded8, 0x3dd0d638, 0x3e4eb9af,
    0x3c6117d6, 0x3def6cf2, 0x3f17dc84, 0xbe82638f,
    0x3f31f418, 0xbe8812c3, 0xbea2613e, 0x3e055c4f,
    0xbee99e95, 0x3f1cb5e0, 0xbd1682d3, 0x3e755bda,
    0xbe51349a, 0x3e658c59, 0xbe47f489, 0xbe5e2402,
    0xbeaa4f58, 0x3d44047d, 0x3f109d42, 0x3d44f710,
    0x3cc36a5e, 0x3f0d36af, 0x3eaf9710, 0xbf492910,
    0x3e347658, 0xbe091f19, 0x3d48f06e, 0x3d39fda0,
    0x3ecaa6e1, 0xbeef189a, 0x3d84d0d3, 0x3ed952b2,
    0x3de474e8, 0x3cc1249e, 0x3e4f668b, 0xbe9b55fb,
    0xbeaa8b9d, 0xbe29c257, 0xbe928706, 0x3f0f1774,
    0xbd562f5a, 0xbf0f6a58, 0x3f09d1c5, 0x3f0b7979,
    0x3ec4fe2a, 0xbd8f9889, 0xbef1286b, 0xbf3b70c2,
    0xbd621ee6, 0xbe3ac436, 0xbe2f253a, 0x3e5111aa,
    0x3de6480f, 0x3dd12508, 0xbc129087, 0xbd7da10f,
    0xbe098f08, 0xbf144aa6, 0xbe5a04a8, 0x3d12c99b,
    0x3d996e00, 0x3f12dad5, 0x3e9cccf3, 0x3e2a6587,
    0xbe69f3a8, 0x3ecee010, 0x3e9ea6d9, 0x3eedf8aa,
    0xbde964d3, 0x3e1379af, 0xbea32cab, 0x3e663963,
    0xbf33c8df, 0xbe44f5c3, 0x3e5cad12, 0xbdae1269,
    0xbee3aead, 0xbd07742c, 0xbf0063e1, 0x3ee5a5ee,
    0xbe67bf98, 0xbf0ec005, 0xbead63cd, 0x3e152d3a,
    0x3f3d1fe2, 0xbee17b2f, 0x3eb1beca, 0xbcb3b15e,
    0xbe5c3713, 0x3ea328ea, 0x3e310cbe, 0xbe7ec7c7,
    0xbe2e00fc, 0xbf4f113f, 0xbf335514, 0x3cbfa9cb,
    0xbd6ea69a, 0x3d9f5ad6, 0x3d8bdbf4, 0x3d265f99,
    0xbed3d069, 0x3d5e797c, 0x3e092b65, 0xbf1e95a0,
    0xbdac110a, 0xbd90051c, 0xbe34c2f7, 0x3ece5a08,
    0x3aa5866d, 0xbe45a300, 0xbdbd8137, 0xbe95d38b,
    0xbe89e92d, 0x3ebf9946, 0x3e0a0c14, 0x3c85963e,
    0x3e271598, 0x3e7e4ded, 0xbcba75ca, 0xbeb016e8,
    0x3f4a9111, 0x3dca5122, 0xbef449ed, 0x3e2800e4,
    0xbdd51a16, 0xbe548e34, 0x3e36d786, 0xbf0c78bf,
    0xbeb43d2e, 0x3eb61e1f, 0xbc908fa7, 0x3dc08e38,
    0x3e81b4d1, 0x3ef131cb, 0x3e14b8b9, 0x3f015b35,
    0xbd5fb760, 0x3eb4920e, 0x3eab8189, 0x3f6da412,
    0x3c558176, 0xbe995796, 0x3d914c85, 0x3ebeb950,
    0xbeb4ef32, 0x3f4c0eed, 0xbd49cedc, 0x3e12a816,
    0xbefccafe, 0x3ec17a66, 0xbe803e34, 0x3e008878,
    0xbef9501b, 0xbe9e2aeb, 0xbdac054e, 0xbf080bd8,
    0xbcf8ab35, 0xbe10cc67, 0xbe60b607, 0x3eedd940,
    0x3f0e7247, 0x3d162a19, 0x3e7c45d7, 0xbd569b68,
    0x3ea83618, 0x3eec469f, 0xbd84efaa, 0x3e531fc2,
    0xbdeac503, 0x3de94dee, 0xbdca5ce1, 0xbc779cdd,
    0x3ec2158d, 0x3f19d7bf, 0xbea04771, 0x3d87e0e2,
    0x3d31488b, 0x3ee5e46a, 0x3e91b7db, 0xbdc29fa3,
    0xbec87507, 0xbebbc546, 0x3e43920a, 0x3da3fbbc,
    0x3e92810d, 0x3d83083d, 0x3f4b6af2, 0xbecad5fd,
    0xbe9197ec, 0x3d7c342a, 0xbf6ea495, 0x3ceaf1d4,
    0x3e054e08, 0xbdc3dcde, 0x3ea9662b, 0x3dcf006d,
    0x3de81471, 0xbcadb0f4, 0x3eb40c81, 0x3e14f9d7,
    0x3ead6d1a, 0xbf23be56, 0xbeb932c5, 0xbe782eb8,
    0xbec5dab4, 0xbee14f02, 0x3e8a26d2, 0xbedb9f48,
    0xbe895084, 0x3e8305cd, 0x3e32648c, 0x3e52abd7,
    0x3cd497f6, 0xbdfe6d92, 0x3e5be646, 0xbeac9e51,
    0x3b0bbfaa, 0x3e9ff2d5, 0xbdf73b21, 0x3ed68efe,
    0x3ee123fc, 0xbecf14d8, 0xbeaec508, 0x3f5324a2,
    0xbec677f5, 0xbe21778c, 0xbc008028, 0xbec44056,
    0xbf0220d1, 0xbd7b3968, 0xbecc8f6e, 0xbeaf3ed8,
    0xbe461fbf, 0xbd4a5e01, 0x3f31deff, 0xbe797be1,
    0x3e6d7884, 0x3ed03f7c, 0x3f0e4c57, 0x3e780670,
    0x3dafad23, 0xbebd689d, 0x3eceee58, 0xbde04461,
    0xbe509e7a, 0xbe35c282, 0x3e9ef117, 0xbecde698,
    0xbe3e3bc1, 0x3e9cdd7d, 0x3db404de, 0x3eaac276,
    0xbdfd3979, 0xbd9dbbda, 0xbf1139c4, 0x3e9461d4,
    0x3f206799, 0x3e0213e8, 0xbea99651, 0x3ee47817,
    0xbe80f826, 0x3d0c2fef, 0x3d8459f9, 0x3d781bad,
    0xbe60f308, 0xbe96e6a9, 0x3e8c33d7, 0x3dd42e5d,
    0x3e7f882d, 0x3e2acda5, 0x3e895eaf, 0x3f4e9053,
    0xbe778c0b, 0xbeb0a31c, 0xbdc87112, 0xbe2491e2,
    0xbce0121b, 0x3efd4ed3, 0x3e9ea223, 0xbd1782c7,
    0x3d5c5110, 0x3d6922ad, 0xbea959e1, 0x3e67b4ba,
    0x3ecd8524, 0x3dd967c2, 0xbf0cbffc, 0xbf442875,
    0x3f261242, 0x3c83caeb, 0x3e2b0913, 0xbce0859f,
    0xbecab232, 0x3dc98ae1, 0xbe81a850, 0x3d635de6,
    0x3e9506c8, 0x3eda0980, 0x3e1f41a9, 0xbee89a6e,
    0xbe5d9e74, 0x3d89fd6f, 0xbe8ae047, 0x3d538f8d,
    0x3e00b705, 0xbea4e7ef, 0x3ef31175, 0xbd992231,
    0xbe9d7d0a, 0xbef0899e, 0xbe424385, 0x3eef7406,
    0x3e152768, 0x3e740f7b, 0x3de4cc65, 0xbf43c683,
    0xbea99cee, 0x3f0d2fdc, 0x3bcc8f4f, 0x3e78a25f,
    0xbf4c6132, 0x3c38cbad, 0x3e554449, 0x3eb26c9d,
    0x3de3da62, 0xbe931bb3, 0x3dfc7dd6, 0xbe8f54f1,
    0xbe99d0be, 0xbe98a65e, 0x3b728ab7, 0xbd1cfa77,
    0xbe9d7b59, 0xbdc27e45, 0xbf0ed21b, 0xbe8357bc,
    0xbe3e2b7e, 0xbe8fd79e, 0xbf1591f4, 0xbe79f2f8,
    0xbf1dfe83, 0xbbc9d033, 0xbeb66290, 0x3daa7ef9,
    0xbd85734a, 0x3f4f554b, 0x3f11349e, 0xbc90ede6,
    0xbf3952da, 0xbefea8c8, 0xbdf70d71, 0x3e2d60f8,
    0xbf2eb614, 0x3e37de28, 0xbea39266, 0xbda9e2ec,
    0x3d6adb0d, 0xbc1e69f4, 0xbea5a2fb, 0xbd9ad76d,
    0x3ed03c9f, 0xbde4b3d3, 0xbcc6ed08, 0xbf4a6335,
    0xbea81baa, 0x3e1f3af9, 0x3e8fb868, 0x3c8d97c6,
    0xbe17fe78, 0xbf028951, 0xbd0c6cbe, 0xbeeb7771,
    0xbe6e6433, 0x3eb5b3e0, 0xbec01b82, 0x3e0fc487,
    0x3f011a7c, 0xbe55cca8, 0xbee2a62b, 0x3e5c4e0e,
    0x3d21d89b, 0xbd89a490, 0xbe5dac16, 0x3d48677b,
    0x3ec4e41e, 0x3ee2222c, 0x3d1139ed, 0x3e74cec9,
    0xbed5de7f, 0xbce72de0, 0x3e023367, 0xbe282e26,
    0x3ed1f844, 0x3dbd964b, 0xbe9b3306, 0x3e88affb,
    0x3d8805fe, 0x3dd64aed, 0xbdd30562, 0xbeddbc0e,
    0xbec38f86, 0xbeb91d3a, 0x3e15dce0, 0xbdfe3dc5,
    0xbe83497a, 0xbe418491, 0xbebd77b4, 0x3f25171b,
    0xbebf7fdf, 0xbf178fe7, 0x3d98af20, 0x3e6c57e0,
    0xbe2a76c4, 0x3dc1e9aa, 0xbf0274ce, 0xbebde36d,
    0x3e9577b8, 0xbdfe3ada, 0xbe86092b, 0xbd5ef215,
    0x3e2e6517, 0xbebfb3d6, 0x3ce91d6d, 0xbe67adf1,
    0xbebc5d52, 0x3dae8bc6, 0xbe3f95bf, 0x3d63c9bd,
    0x3e85fffb, 0x3e012d83, 0xbe55b63f, 0x3e1a7330,
    0x3f210748, 0xbd8fc380, 0x3e7ee473, 0x3f036212,
    0x3f060a1e, 0xbe8dc6b6, 0x3e0867fe, 0x3d81a960,
    0xbe8704ae, 0xbe4a5bdc, 0x3ec626f6, 0xbe92bbe3,
    0x3e5f2299, 0x3e0f91fd, 0xbec18f30, 0xbed7e31e,
    0xbeafcbd1, 0x3e751ad9, 0xbe0a4b5f, 0xbe998cca,
    0x3c8f301d, 0xbe940ae9, 0xbdd71336, 0x3eed8641,
    0x3e21f01d, 0xbf250fc9, 0x3d713c7d, 0xbee1b10b,
    0xbe7c1c0f, 0x3c590b31, 0xbeb444aa, 0xbe4a7fcb,
    0x3b29a92b, 0x3dbdca80, 0xbeb8ba78, 0xbdcd9eaa,
    0xbf106e2a, 0x3e70df36, 0x3cbcf69f, 0xbed5b38d,
    0x3e9dfa92, 0x3e45a41c, 0x3ecdeb88, 0xbeb378ee,
    0xbf006db8, 0x3d36b18f, 0xbde71325, 0x3e338226,
    0xbdbb2641, 0xbc1ef423, 0x3ef16808, 0x3e6209dd,
    0xbf102dfd, 0x3e8fac5d, 0xbe40ae83, 0xbe82691b,
    0x3cf4be80, 0x3f27d1ad, 0x3e96e1c9, 0xbf0208fa,
    0x3ef17515, 0xbdbd770b, 0xbd9d63ac, 0xbcaad80f,
    0x3efe9ff9, 0x3dd6b397, 0xbe2e3cc5, 0x3e286399,
    0x3d36c4b7, 0xbdb2234f, 0xbe2641e1, 0xbebea256,
    0xbd6e8a51, 0x3eb4b53c, 0xbe867766, 0xbe1a01a6,
    0xbe924dbb, 0x3f0e0c8d, 0x3c1e966d, 0xbe137573,
    0x3e82e32d, 0x3ea8c125, 0xbea5170f, 0xbe3914d9,
    0xbe79dc5d, 0x3f2a2dc9, 0xbd19cf7a, 0xbea39dd0,
    0xbe526c2a, 0x3e0e224b, 0xbda27614, 0x3f800000,
    0x3efb7cc4, 0xbf0dad56, 0xbea996ad, 0x3e2ed837,
    0xbd4910ea, 0x3e1ec17a, 0xbea3ab23, 0xbf0c46ff,
    0xbd8d9298, 0x3e96a1c9, 0xbf1316b7, 0x3eacc40c,
    0x3f46178a, 0xbe37457a, 0x3f1cf830, 0xbbaa5c71,
    0xbdf90671, 0x3e33f86b, 0xbe9798f3, 0xbf05efdd,
    0x3e32d016, 0xbd4000be, 0x3cb5a8b3, 0x3d8d6459,
    0xbebb5ba1, 0xbde0ffec, 0x3ed5a73f, 0x3ed335a1,
    0x3af77477, 0x3f12f0b6, 0xbe31de96, 0x3ddc8d61,
    0xbf3146a7, 0xbe4f673a, 0x3ecf7f6e, 0x3e95eab7,
    0x3e1328aa, 0xbe1b5171, 0xbe9bb14d, 0xbee35840,
    0xbeb06b77, 0xbd925c41, 0xbdee2031, 0xbca88f04,
    0x3e2df304, 0xbf448cac, 0x3e59b56a, 0xbefd1cf8,
    0x3ea8ae80, 0x3e9201a6, 0xbea65905, 0xbdeefa43,
    0x3f569794, 0x3e19c293, 0xbeae59d6, 0x3f0706e1,
    0x3ea22ec7, 0x3f095bc5, 0x3e18f370, 0x3e29179a
    };

static const uint32_t in_com2[1600] = {
    0xbdde9a55, 0xbe3c3089, 0x3e2091fb, 0xbf5169f8,
    0x3e617832, 0x3d699df2, 0x3f3ec79b, 0x3e84141b,
    0xbf308032, 0xbe442cbe, 0xbebb6665, 0xbe777a62,
    0xbf15ba94, 0x3e191dd5, 0xbebcf8f4, 0xbc6c97a8,
    0xbeb66ffd, 0xbda387f4, 0xbe851585, 0xbf36c075,
    0xbe990378, 0xbe217ebc, 0xbef8fd2b, 0xbe23ccd9,
    0xbf33c2a5, 0x3e30716f, 0xbe9f312d, 0xbdb376aa,
    0xbe29547a, 0x3ed027a0, 0x3e95a4fd, 0xbea3c072,
    0x3d44c15e, 0x3e2531e9, 0xbdba7b8d, 0x3ed8c936,
    0xbe6e978a, 0xbe176aeb, 0xbe8009b7, 0x3e8adfa0,
    0xbec7c2ec, 0xbe18b922, 0xbe49b5da, 0xbe81d37a,
    0xbe53c76e, 0xbe05ecec, 0xbeace453, 0xbd9f64e9,
    0x3e7d8137, 0x3f778988, 0x3ef5c72a, 0x3f042beb,
    0x3ea53e72, 0xbe2ad315, 0x3d94ecf9, 0x3de8b9fd,
    0xbe6d718f, 0xbe080c4e, 0x3d6b0e18, 0x3e80c061,
    0xbf0f2e47, 0x3e9c707a, 0xbf02da82, 0x3ea753e9,
    0xbe881800, 0xbd4f23b3, 0xbe1e453b, 0x3ecfc274,
    0xbd70f65d, 0x3ec95d4f, 0x3d58c8ec, 0xbe7367ca,
    0xbd285b93, 0x3ecf40c1, 0x3d205872, 0xbeb2ebc3,
    0x3e0343b4, 0xbd143628, 0x3c9a3c62, 0xbec3e42a,
    0x3e4d92d3, 0x3e36d41e, 0xbd8bb18c, 0x3e44c8be,
    0x3c98346a, 0xbf16b0d2, 0x3e7fc8ee, 0xbf05496b,
    0xbe878dcc, 0xbea47f9d, 0xbdd9b8a8, 0xbefbcafd,
    0x3dbd0fba, 0xbe92a123, 0x3ece3d72, 0xbed3d14a,
    0x3ec10fa2, 0x3f0d32cc, 0xbe27ed0a, 0x3d27c301,
    0xbe8e8d81, 0x3d8d3ceb, 0xbef11754, 0x3ed8c478,
    0x3ee67989, 0x3e4b98bd, 0x3d1595b2, 0xbe6c0065,
    0x3e1d5447, 0x3dcd4540, 0x3f1108af, 0x3e1dfd01,
    0x3ed099c7, 0x3ef66711, 0xbd461dbe, 0xbe6e2682,
    0x3e309a7a, 0x3e5fcbe2, 0x3e1a10fc, 0xbea67d65,
    0x3e2dc9fd, 0xbf530120, 0xbe1efc1b, 0xbe483da1,
    0xbee54c7b, 0xbe1891f2, 0x3d557065, 0x3e735d82,
    0x3db08053, 0x3db6bc5a, 0x3e73e974, 0xbdc33ca2,
    0x3e891ed8, 0x3e3a3348, 0xbe8dceae, 0xbf739d5d,
    0xbe001152, 0x3db99a94, 0x3eb26f49, 0x3df25c53,
    0xbe092002, 0x3e495064, 0x3e2bdb08, 0x3e0d903d,
    0xbd354311, 0xbe924d4c, 0x3eab0c12, 0xbec209e1,
    0x3d8c7db8, 0xbddd0c13, 0xbe78f2e5, 0xbeccef3a,
    0xbd9e9e3a, 0x3f20ddfc, 0x3ed86951, 0xbdfe7b32,
    0xbeeaffda, 0x3e7f9c84, 0x3e43188b, 0xbf219799,
    0x3d87d8e5, 0xbe9a059b, 0x3eb78a46, 0xbe837095,
    0x3c8e3b0e, 0xbbbc629f, 0xbe4a8dac, 0x3ebeb280,
    0x3e1c5886, 0x3f800000, 0xbd341309, 0xbc23b4c4,
    0x3da20c49, 0x3ccf413e, 0x3f0e5b80, 0xbe25ed39,
    0xbc93674d, 0x3e295449, 0x3e60ba5a, 0xbea8a329,
    0x3e2cdf27, 0xbed18640, 0x3d1e89c5, 0x3e84cd54,
    0x3d7914c1, 0x3f16ff11, 0x3e9b3ea0, 0xbea29f65,
    0x3ecd135e, 0x3ed2f2f8, 0xbdc2c462, 0xbdcfe592,
    0xbe2cec92, 0xbd4842af, 0xbe968452, 0xbe2edeb6,
    0x3e7f2e04, 0x3eca3c11, 0x3e0e848b, 0x3ea84e78,
    0x3ed70c93, 0x3efb67cf, 0xbf5dcca6, 0x3e9e2c42,
    0x3a9359ff, 0xbdd2f02c, 0xbedab21e, 0xbe1817a4,
    0x3ebd23f9, 0xbdc0c044, 0xbea90e8c, 0xbdf38e49,
    0x3e584b14, 0xbe281782, 0x3f023033, 0x3d490cbc,
    0x3e1aa2ad, 0x3eb4aebd, 0xbca63bf4, 0x3debee5d,
    0xbe3e933d, 0xbe7dab5e, 0x3efcefb5, 0xbeabfb90,
    0x3f0251f2, 0x3e108b74, 0xbbe84683, 0xbe92b720,
    0xbf07ddd9, 0x3ed09efb, 0xbf046129, 0x3dedc444,
    0xbe8df4ef, 0x3df030cf, 0x3eb60a7a, 0x3ed4059b,
    0xbeb4502d, 0xbf030ebc, 0x3d97c32b, 0x3cf68472,
    0x3f0b0703, 0x3e31b9d3, 0xbd3991a8, 0xbe9c77c3,
    0x3e0dc565, 0xbe3fcee8, 0x3eca84b1, 0xbe75c497,
    0xbf310b77, 0xbdd2209f, 0xbdf00726, 0xbe3cd868,
    0xbe765e49, 0xbe84c38c, 0x3deb1a8c, 0x3e865e5d,
    0xbf106a78, 0xbf108259, 0xbe4d8cd7, 0x3b8324f1,
    0x3ec52a4e, 0xbea97e01, 0xbe0f6e2d, 0xbf043b2c,
    0xbe183268, 0x3e9a528c, 0x3e9b6e59, 0x3e8c5d19,
    0xbdb4cfcc, 0xbdc83791, 0xbea70a88, 0x3d51ea5c,
    0xbe3983d9, 0x3e921f17, 0x3c692cf9, 0x3e541f2c,
    0xbe6773ac, 0xbe93fd7c, 0x3f2992e5, 0x3e979378,
    0x3e52f7f7, 0x3e6debab, 0x3da4feab, 0xbf181209,
    0xbe87dee9, 0xbe70dc23, 0xbb1ccae3, 0xbee79e32,
    0x3f0de22e, 0xbe7c0b78, 0x3d8b8269, 0xbd697eb4,
    0x3dd56516, 0x3ea3b2d9, 0x3db377cd, 0x3edb0c66,
    0xb9cd4bbc, 0x3dabb427, 0xbd280b1b, 0x3ebeef81,
    0xbf1b0388, 0x3e563784, 0x3ae54dd9, 0x3e6f06ea,
    0xbeacadfc, 0xbdc3dd47, 0x3eb28e9b, 0xbcf77c3e,
    0xbf08b2c6, 0x3d57c9bd, 0xbdd65c41, 0x3afa4789,
    0x3f0e171a, 0x3e7de502, 0xbe169b5f, 0xbb964e2a,
    0xbef57e57, 0x3e792608, 0x3ec9547f, 0xbec52276,
    0x3dab64ac, 0x3d8fde1b, 0xbdb8f720, 0x3e7176e7,
    0x3e403247, 0x3eb54355, 0xbe46247b, 0x3e40b50b,
    0x3f3c2ee3, 0xbe3596f6, 0xbdafc0d3, 0x3d2150c9,
    0x3d8acf53, 0x3cfa9fb2, 0x3e7148c0, 0x3f0847e4,
    0xbe89f34b, 0x3e851fcc, 0x3dfe3904, 0xbf084732,
    0xbe222ec8, 0xbf165ed7, 0x3e373acc, 0xbd1c76ef,
    0xbb6490d7, 0xbe12d9d5, 0x3e66c4e8, 0xbf2467f0,
    0xbe95de9c, 0x3e97a490, 0x3ec0a126, 0x3ead719e,
    0xbec99eea, 0x3edad11a, 0xbcc696fc, 0x3dbd2a8f,
    0xbc2f01e9, 0xbda8f962, 0x3b2c87d7, 0xbe2c9b48,
    0x3ea2ec49, 0xbe33a701, 0x3f172640, 0x3d105720,
    0xbeb8fec1, 0x3efad87a, 0xbece6303, 0x3efe611f,
    0x3f0b9078, 0x3c411e96, 0x3e537ba3, 0xbe03ce6b,
    0xbe779010, 0xbea89e42, 0xbf014334, 0xbd87311a,
    0xbf2cdab3, 0x3e654e6a, 0xbe5e9ba4, 0x3ca26a34,
    0xbc8add40, 0xbeec477e, 0xbda4b8dd, 0xbec65d81,
    0xbd044251, 0xbf4d42ca, 0xbe68a5da, 0xbdbec316,
    0xbf36c156, 0x3ea788fb, 0x3cded717, 0xbddaa419,
    0xbc4102b3, 0x3d420d3a, 0xbe6e97ee, 0x3ec706fd,
    0x3e87cc54, 0x3ed57487, 0xbf25243a, 0x3e8b04e9,
    0x3cabb40e, 0xbd4f5d50, 0xbce9e916, 0xbc0cd871,
    0xbe9dae68, 0x3ebc0102, 0xbe7d8177, 0xbe8a8728,
    0xbe481dd6, 0xbd81716d, 0x3e79ce0e, 0x3e4a6047,
    0xbf5f41d5, 0xbe8c5adb, 0x3e63c799, 0xbf671e23,
    0x3e872878, 0xbe7ce3ed, 0x3dad65dd, 0x3ebef919,
    0x3ef4f186, 0xbefedd8d, 0xbe81b5cd, 0x3be81b28,
    0xbd92265a, 0x3ed92d13, 0x3cfe61ca, 0xbeec8f29,
    0x3ea67811, 0x3d8ef210, 0x3e261d10, 0x3e412050,
    0xbe9ad70b, 0x3db4aa15, 0xbe864634, 0x3c9780f9,
    0xbf0c9761, 0xbefd7d0d, 0x3cfa8114, 0x3eda5ed9,
    0x3eae3f4d, 0x3d4129e7, 0xbe4ef1cb, 0xbe23c494,
    0xbc1daf00, 0x3e1dd1ed, 0x3d3c404a, 0xbe1f8ee5,
    0x3daa875b, 0x3e3688bc, 0x3ec46b7d, 0xbed86f0c,
    0xbd4eedfe, 0x3e9d5762, 0x3c36c4a2, 0x3f07f0ba,
    0xbda3bb07, 0xbf23fcbb, 0x3ed3319a, 0x3b205ac9,
    0xbe7202a8, 0xbe83d0e9, 0xbde53d1f, 0x3e52c1ba,
    0xbf259fab, 0x3da51e9d, 0xbedca712, 0xbe3a9a0b,
    0x3eb57e5e, 0xbdcfd06f, 0xbd7d02bd, 0x3e9a828b,
    0xbe2b6872, 0x3f233a10, 0x3f3ca4f7, 0xbdb7f20a,
    0xbea1ad40, 0xbdaaef18, 0x3e307388, 0xbe13afc4,
    0xbdb528df, 0xbef263c3, 0x3e822ca3, 0x3d89da5c,
    0x3e91650b, 0xbec65f33, 0xbdb2f804, 0xbeccfc6b,
    0x3e5f094e, 0x3ed954e8, 0x3d68cf94, 0xbe08c025,
    0xbeb82ff1, 0x3f414b2a, 0xbf012bb9, 0xbcf61484,
    0x3c0bd54e, 0x3e4e6864, 0x3df6eb76, 0x3ef85c6b,
    0xbdc25e30, 0x3e5234e0, 0x3e9133bf, 0x3e1ac4d8,
    0x3ec34770, 0xbd99c3bf, 0x3f0c9ba6, 0x3e0f9c41,
    0xbdcedd83, 0xbef9a6b6, 0xbd9f29a0, 0x3e5c8cb8,
    0x3e995c2f, 0x3e6033dc, 0x3ecaa5b5, 0x3ee9474b,
    0x3e1dd10f, 0x3e92a9e3, 0x3e88a5c0, 0x3cb40856,
    0x3e44a1e1, 0xbd273dc1, 0x3e48241c, 0xbd017958,
    0x3eb608a0, 0x3d77627b, 0x3eaceaf0, 0xbe71b7ab,
    0xbd189ca1, 0xbf0e3d6b, 0xbe2fb997, 0x3eb092aa,
    0xbe1266d3, 0x3ecc8d65, 0x3ea7350c, 0x3ea7540c,
    0x3f0da7b8, 0xbe758216, 0xbef1ff87, 0xbeab61d8,
    0xbe283c8f, 0xbeadb45d, 0x3eb04305, 0x3db5de9d,
    0xbf0a8fc2, 0x3c90e805, 0xbd8f8d58, 0xbed3aef0,
    0xbede6b3c, 0x3eed4d44, 0xbd9a1f9e, 0x3f0f9276,
    0xbf384662, 0x3e96eade, 0xbcca4b89, 0xbdc3cf49,
    0xbcdc620b, 0xbecc3208, 0xbd500aca, 0xbe4ccd3f,
    0x3d83c57c, 0xbe770d41, 0xbd389ad9, 0x3d4960e8,
    0x3db6069b, 0xbe8b915d, 0xbe92f9fc, 0x3e9e67b9,
    0x3da623c4, 0x3f0f174d, 0x3ec03df7, 0x3e9eaf9f,
    0xbbaa4769, 0xbe3ec8fa, 0xbe373f8f, 0x3d19385d,
    0x3c8fbe72, 0x3e576e6c, 0x3ea79356, 0x3ec74ba8,
    0xbea897b1, 0x3d82db8a, 0xbe6b5697, 0xbd81a6b1,
    0xbe78141e, 0xbe2f30bf, 0xbede9dd8, 0xbdd0947d,
    0xbdc0559b, 0xbea73b9c, 0x3dac07e7, 0xbe3b85e5,
    0x3f1f721a, 0x3d83a9e6, 0x3cb762c0, 0x3bf44abe,
    0xbdbae2b8, 0xbdc47230, 0x3ee21d44, 0xbdf3973f,
    0xbe3d29cf, 0x3efbe718, 0xbe822c39, 0x3f095f6c,
    0x3e2987df, 0xbee32112, 0x3d900d82, 0x3df60ae6,
    0xbda94364, 0xbe3ed19b, 0xbe8df0db, 0xbe54bf25,
    0x3e82a293, 0xbec6358d, 0xbd083eaa, 0xbca7f355,
    0x3c6df7f4, 0xbe228a19, 0x3c453c52, 0x3dec5ae2,
    0xbd74949b, 0xbf111aec, 0xbd97e150, 0xbeb7d652,
    0xbe2ab81d, 0xbf705379, 0x3de78e01, 0xbe87b3e9,
    0x3eed94a1, 0x3cc22867, 0x3e2cef40, 0xbdc5be6d,
    0xbe1346ae, 0xbf2608cc, 0x3eb60c7d, 0x3e030513,
    0x3d2da74e, 0xbe0cf6c2, 0x3e6bf73a, 0x3d60e3e7,
    0x3e493127, 0x3db02099, 0xbe6c1469, 0xbefe3058,
    0x3e1f6230, 0x3e26cd56, 0xbe8f4f6b, 0x3e7e6f3c,
    0x3ef74f3a, 0xbdd5a801, 0xbedb0214, 0x3eec94d9,
    0xbead0c29, 0x3e7a0f1c, 0xbe75ec12, 0x3ebab104,
    0x3e67dcc0, 0xbd2c9d28, 0xbe36aa27, 0xbcba20e6,
    0xbe8cf4b5, 0xbeeca998, 0x3e7535f5, 0x3f05dcd5,
    0xbe9a9ffc, 0x3d4062cf, 0xbf0d1b21, 0xbe6bb069,
    0xbe1d2194, 0xbe1ae821, 0x3e366a09, 0x3f53334c,
    0x3f484141, 0xbf222b1c, 0xbdfd4e5e, 0xbf2880ed,
    0x3dcf50c2, 0xbe2c2970, 0x3ebbeb87, 0x3e6c01d0,
    0xbe964268, 0xbe40b0f7, 0xbd4fb169, 0xbe1246b1,
    0x3e4b5d0b, 0x3ea8bf33, 0xbf399532, 0x3e0b02fa,
    0x3e0c4b07, 0x3ec335e4, 0xbea3eab2, 0x3ee53d66,
    0x3d7cacb3, 0xbe8e15b1, 0x3d268a98, 0xbe204ce9,
    0xbf06d035, 0xbf18f1a3, 0x3e7a7742, 0xbf02b0bc,
    0xbdc8779c, 0x3e50bf52, 0xbd3b7f38, 0x3da26512,
    0x3e6fe4bd, 0xbe757db2, 0xbe954377, 0x3ed41fd7,
    0xbf180cb3, 0x3d79dda9, 0xbecc5fe1, 0x3c9f0558,
    0x3d1e8c64, 0xbdc27c80, 0x3e913914, 0x3ed711e2,
    0x3ef48fd9, 0xbe85981f, 0xbecb033d, 0xbe88b748,
    0xbdab5e56, 0xbe9a9aec, 0x3cb5e850, 0x3e116393,
    0x3c609af6, 0xbd22804f, 0xbe2dd16e, 0xba136cc5,
    0xbf4b2922, 0x3dfcd3c5, 0x3cd5c9ac, 0xbf040920,
    0x3e736424, 0x3e91abdb, 0xbdf2bf95, 0x3e47f989,
    0x3ed38ad2, 0x3e886721, 0x3ed3d91a, 0x3e9d7f43,
    0x3ec39be6, 0x3e01e96d, 0xbda072a0, 0x3e30497b,
    0x3caf7c7e, 0xbcb924be, 0x3f01a5cf, 0xbf2156b6,
    0xbd9fe76b, 0x3ccf7ecc, 0xbedd5aa7, 0xbe560f66,
    0x3dae2ea8, 0xbd8dcafa, 0x3e3c14fb, 0xbf705fe3,
    0xbdfc9142, 0x3e5d7585, 0xbefd39af, 0x3da0cf2e,
    0xbf233d60, 0xbdd1a2ff, 0x3e982096, 0x3da49244,
    0xbe27ba16, 0x3c9a8ffe, 0x3d186c87, 0xbe959bbf,
    0x3d296c7f, 0x3f1ace1f, 0x3e8cd20f, 0xbe12a52c,
    0xbf23dfae, 0xbcc6cfff, 0xbeaa59f5, 0xbe878586,
    0xbdc0d212, 0xbe836097, 0x3e041782, 0x3f2a04d7,
    0x3f018706, 0x3dfd10e8, 0x3e23816b, 0x3d395325,
    0x3e785e72, 0x3ec4c60d, 0x3f123707, 0x3e7d6bec,
    0x3e90c3ae, 0x3ec7f65a, 0xbeca197b, 0xbdd01205,
    0x3ed17c76, 0xbed32a78, 0x3efd438d, 0x3d469ec2,
    0xbdcdf6e2, 0xbf40bba8, 0x3d5d411f, 0x3ed9d264,
    0xbede9c7c, 0x3eeb650e, 0x3e8ab6ee, 0xbe6de546,
    0xbeb69268, 0x3ea7a3a2, 0x3e0e3fc9, 0x3e0b47d6,
    0x3df51737, 0x3e98d34e, 0x3dfc6da1, 0xbe814819,
    0x3eaa2917, 0xbcbd7331, 0x3e76b6f1, 0x3e546223,
    0x3dcb059c, 0x3f0497f1, 0xbe44335c, 0x3e3c8df1,
    0x3de9baed, 0xbe1cd913, 0xbe004af6, 0x3f2d265d,
    0xbc2d7686, 0x3f4bb77d, 0x3e784c00, 0xbdddce89,
    0x3e601528, 0xbd48973d, 0xbea95217, 0x3f0f4a94,
    0xbe1ea967, 0x3f2b4f0b, 0x3d09a945, 0x3f084329,
    0xbeb6ab4a, 0xbe31fdea, 0x3efb4fa0, 0x3ecd49da,
    0x3e60d4b2, 0xbebdff1c, 0x3e226b95, 0x3e9e5882,
    0xbe9a5c40, 0x3dc2ebca, 0x3d32505e, 0x3eca9d08,
    0xbde1ca8a, 0xbc3adc7d, 0x3eccfc88, 0x3d5e149e,
    0x3d39631e, 0xbbb15050, 0x3ea62832, 0xbf11bf28,
    0xbed3ff2e, 0xbbac669e, 0x3ea782b6, 0x3e7c9dd8,
    0xbe541e9d, 0x3e590de3, 0x3e5cf770, 0xbd7baa1d,
    0x3ee12136, 0x3b321138, 0x3da6f932, 0x3e1d8005,
    0xbdadd7b1, 0xbe64e279, 0x3cec099b, 0xbe23f18c,
    0x3dfe3fa4, 0xbe0b0c6f, 0xbe4b82c6, 0xbd958b7a,
    0x3e8b81ba, 0xbe8299db, 0xbe96b504, 0xbf001c79,
    0xbf0d9fa5, 0xbe7f726b, 0x3e670f76, 0x3e5f520a,
    0xbe0bc5e8, 0x3b90e837, 0xbd57f446, 0x3dedd98d,
    0x3e99e59c, 0x3f3e5bd4, 0xbdd151dd, 0x3e793433,
    0xbe89bc94, 0xbdbdfeb5, 0x3deef2e0, 0x3ef0420e,
    0x3f04eba8, 0xbd853dd9, 0x3d91ddbc, 0x3e61d5e0,
    0xbe1eaf9f, 0xbf2ba4ca, 0x3e70a6aa, 0x3d973590,
    0x3db29dd7, 0xbd14c4d6, 0xbeefe4b7, 0xbdb58999,
    0x3efb3f64, 0xbf0aced4, 0xbda5c515, 0xbdd0930b,
    0xbf32282f, 0x3e199c4c, 0xbef05217, 0x3db828d6,
    0xbe8ed119, 0x3f1e7edf, 0x3d7d50a6, 0x3caa396d,
    0xbc1790df, 0xbdcdc518, 0x3df8b42d, 0xbe9b2199,
    0xbe5bffb1, 0x3e9fa671, 0x3c9b2763, 0x3bc854eb,
    0xbeb0d628, 0x3f0352af, 0xbefecfec, 0xbe5b4758,
    0x3eaed05a, 0x3dba14d6, 0xbd4da5e6, 0xbe5a260f,
    0x3e43cb54, 0x3e9527f5, 0xbe8c0aa6, 0x3e5b3cee,
    0x3e8d0df6, 0xbf145499, 0xbe431821, 0x3f4aa887,
    0xbebd4896, 0x3f131f41, 0xbde9d532, 0x3e48dc62,
    0x3cc01ff8, 0xbe2958a9, 0xbe96e5d5, 0x3c9cc30c,
    0xbeb65e48, 0x3de52639, 0x3e5ae91a, 0xbec37f6c,
    0xbeb5a8e2, 0xbeb950d8, 0x3e82469c, 0xbeb0b118,
    0xbea5a4bf, 0xbece6194, 0x3eba49e6, 0xbe888c8e,
    0xbe5c039f, 0xbe938971, 0x3d450ce4, 0xbe2c8815,
    0x3d66d008, 0xbc9015b0, 0x3c8e4346, 0x3d262006,
    0x3e42f33b, 0x3e89e1bb, 0xbe7a72db, 0xbcfcaa22,
    0xbe3a6ad1, 0xbed94ac1, 0x3e9fc5e9, 0xbd5a7cbc,
    0x3e2581ef, 0xbefd6a78, 0x3c154202, 0x3e10116c,
    0xbdb2cda3, 0xbd8dcd4e, 0x3daf1a67, 0xbec31b21,
    0xbc2ca579, 0x3dc335eb, 0xbd1df889, 0x3e509deb,
    0x3dc2f01a, 0x3d4a4c5d, 0xbea65340, 0x3db167a9,
    0xbf1d7a6f, 0x3f3a3e08, 0xbe17291e, 0x3e3c4a25,
    0xbe92d91e, 0xbe900ef3, 0x3e6c5436, 0x3dded29e,
    0xbe8a3d44, 0xbe9f2ea5, 0xbf3dd2cb, 0x3e917dac,
    0xbeb3068b, 0x3d8dfadd, 0x3e5ba9b9, 0xbeac6c8b,
    0xbd2f932f, 0xbf1f1b30, 0x3ebe024e, 0x3ee5ac44,
    0xbe37a6a6, 0x3ed62788, 0x3e950b5e, 0x3de6510f,
    0xbe09dc81, 0xbeb63495, 0x3ca834c6, 0x3e03c462,
    0x3ecec6a0, 0xbe9df058, 0xbe48e066, 0x3eabd0c3,
    0x3ddd6870, 0x3ead74e7, 0xbeff8767, 0xbeeaa6af,
    0xbdecb856, 0xbe16d164, 0x3e32dffe, 0xbe606e18,
    0x3de50ee3, 0xbea3109f, 0xbe85bed1, 0x3dd6fb91,
    0x3eaadd6c, 0xbf12292d, 0x3e9013db, 0x3f027d59,
    0x3eaa5536, 0x3dbe9eee, 0x3f1c2b29, 0x3f10b502,
    0xbf1370fb, 0xbe80f942, 0x3e031f25, 0x3e8952f1,
    0xbf2f4e35, 0xbe48bfc9, 0xbb6a3d6f, 0xbd4a4b80,
    0x3e095ac9, 0x3f010345, 0x3e668744, 0x3f2e6965,
    0x3d1a38d4, 0xbd4538b9, 0xbec2d3eb, 0xbe21ec2e,
    0x3e4e8e46, 0x3ecd0b90, 0xbe414741, 0x3eb0bc67,
    0x3f0b3fec, 0xbe0ecae3, 0x3be6bc2f, 0xbecaf6a4,
    0x3e2af8d6, 0x3f1ba3de, 0xbde1bac4, 0x3e97c597,
    0xbe8b47fd, 0x3f3fc806, 0xbd380b10, 0xbef29c42,
    0xbe66c91f, 0xbe8b98a2, 0xbd10db1b, 0x3e353f87,
    0x3ef034c0, 0x3d8864cf, 0xbe74fc38, 0xbd9f24d5,
    0x3f093dda, 0x3f05da8f, 0x3e812496, 0xbe8d950c,
    0x3d8a6b65, 0xbe2c8cea, 0x3ec345fb, 0x3ddd599c,
    0x3e856e5e, 0xbdfbc9ce, 0x3b443b86, 0x3eac282c,
    0x3c54dc95, 0x3d384f2c, 0x3e88844e, 0x3e6ca3a8,
    0xbea957c7, 0x3dbb63aa, 0x3f226a8d, 0xbdb2a291,
    0x3cda1e50, 0xbecaceb9, 0x3e780de8, 0xba0df560,
    0xbf07817b, 0x3d48b59f, 0x3da8bc28, 0x3e171edf,
    0x3e535471, 0x3e2b503d, 0xbefc581b, 0x3d884ae8,
    0x3e37cc52, 0xbea0f38b, 0xbea6424a, 0x3ece51fd,
    0x3f1633d7, 0xbe102300, 0xbe0809e1, 0x3e9147d1,
    0x3e1fec7b, 0x3dc13e63, 0x3ed2a6a6, 0xbf1ca4b4,
    0xbd48a0c1, 0x3db1146d, 0xbe238e4e, 0x3d81842e,
    0xbf136f18, 0x3e4fc4bc, 0xbdd90ba7, 0x3e901999,
    0x3efa27b7, 0xbe7c5c2b, 0xbedb187d, 0x3d9dbd03,
    0xbe78a985, 0xbeb7d754, 0x3efa0254, 0x3e9a84e7,
    0xbd4708f7, 0x3eb9603a, 0xbe0c0889, 0xbe6491eb,
    0xbeb001e8, 0x3e0b248b, 0xbe4b3f4c, 0xbea5295e,
    0x3cc57bd5, 0xbe087579, 0x3ee6006c, 0xbe40f9ce,
    0xbea16794, 0x3b3e5754, 0xbf1a8824, 0x3eb11344,
    0xbe1b4e22, 0xbf000780, 0x3e8dc069, 0x3f13515e,
    0x3ddf6363, 0x3e329697, 0xbe4e76b0, 0x3ebfb316,
    0x3d60c8c8, 0xbebd681c, 0xbed67b80, 0x3f280806,
    0x3e5789fd, 0x3edb3dd3, 0xbdaba099, 0xbef32d30,
    0x3db8afd6, 0xbeb2ccfa, 0xbcc64a3e, 0xbe15a927,
    0x3ec1bd00, 0xbe5f25d5, 0x3e3b8f11, 0xbde32bf8,
    0xbc1f2a2e, 0xbe9eff47, 0x3e6d6eab, 0x3e99f04c,
    0xbe1b0257, 0xbea355f2, 0x3c7a5622, 0x3ee9ed1e,
    0xbe9ced64, 0xbe6800ba, 0xbe81d9d0, 0x3e719da1,
    0x3efdaa7f, 0xbe0d109b, 0x3ddea607, 0xbe870206,
    0x3e9637db, 0xbe57f4e0, 0x3e9344a9, 0xbf280e6b,
    0xbd5cf7ae, 0xbe2c2e05, 0xbd6c4727, 0xbf04fac7,
    0xbec40b50, 0xbc76ded0, 0xbd4092b0, 0xbe975f11,
    0x3f0d3ebd, 0xbdcc8b40, 0xbe3f047d, 0x3d9ed02f,
    0x3e55db5b, 0x3f31da4e, 0x3d298e7d, 0x3e00d005,
    0x3d36ff54, 0x3e69bea3, 0x3ec246bb, 0x3c0672a3,
    0x3d0fea83, 0xbd444e14, 0x3d857efe, 0xbe6ee52c,
    0x3e000a01, 0x39fd4415, 0xbcca2c59, 0xbecea202,
    0xbd2edd20, 0x3eb4d813, 0xbd278ccb, 0x3e8e6d61,
    0xbefa5308, 0xbe9bdecf, 0x3c6569e9, 0x3d7f594b,
    0x3dd43b38, 0x3c76411d, 0x3e592bee, 0x3d1b0289,
    0x3e041009, 0x3eca2f84, 0x3e4f27f6, 0x3dc9736c,
    0x3ede197a, 0xbe28e411, 0x3ebb283e, 0xbec427f7,
    0x3ce3ae27, 0xbdb90842, 0xbe9a782a, 0xbe80088a,
    0xbe44136c, 0x3df7c7a8, 0x3d31b37c, 0x3e8f739e,
    0xbf0fbbfc, 0xbcf675f4, 0xbebff5e2, 0xbe65aa86,
    0xbdab9051, 0x3e1b743c, 0xbe1d129a, 0x3ea7cdea,
    0xbc5ca862, 0x3be272c0, 0x3e4f4687, 0x3eb2e4d9,
    0x3de0b901, 0xbd3955f3, 0xbe59bf72, 0xbf1b4433,
    0xbe9b2e17, 0x3ea7182c, 0x3ea067db, 0xbe103d19,
    0xbe3ac3ee, 0xbde60893, 0x3ead1520, 0xb87d2e06,
    0xbd6c2132, 0xbdd22e60, 0xbed027ae, 0x3c13e6b5,
    0x3f244451, 0xbf37bca6, 0x3f0a37a4, 0xbf300724,
    0x3e9a4735, 0x3e90318d, 0xbf11321e, 0xbe29609a,
    0x3eaf18be, 0xbda4ae51, 0x3f07541e, 0xbedcf446,
    0xbe8c47a6, 0x3d212743, 0x3e21fed6, 0x3e54d99e,
    0xbdc69e99, 0x3f245cbf, 0x3eaeb3df, 0xbe53b145,
    0xbe4f55f2, 0x3eae5a67, 0x3e8104f3, 0xbe66bd0b,
    0xbe3a5eb0, 0x3f024a57, 0xbda54073, 0xbe24fb8c,
    0xbea94107, 0xbe454c23, 0x3e8917fd, 0xbe721cca,
    0x3eaaa3e5, 0x3e58f60e, 0x3e5ee776, 0xbe8c0819,
    0xbf080c3c, 0xbf23d0e0, 0xbd06444d, 0x3d5df78c,
    0xbf2170ad, 0x3d8cc69c, 0x3e04a36f, 0x3d3d6123,
    0x3f0e4ce9, 0xbe1e803a, 0x3e21a107, 0xbeb71a7b,
    0xbec45aff, 0xbf103a48, 0xbe293d09, 0x3e0f1fce,
    0xbe630335, 0x3d3046df, 0x3f7fd84d, 0x3f20d673,
    0xbdd2dffe, 0xbd38d153, 0x3e6f66c3, 0xbe025b44,
    0x3e0f2eba, 0xbea8f555, 0xbe687508, 0xbeca1e43,
    0x3edd1357, 0xbe04c339, 0x3ea03b39, 0x3e732f3c,
    0x3b6c03bf, 0x3eecc74e, 0x3de27a7e, 0xbe6043c5,
    0xbe0087fe, 0x3e6d49f6, 0x3ce5b973, 0x3e2bb19f,
    0x3f0eaefd, 0x3e2ec6bc, 0x3e656c5c, 0xb8fb4451,
    0xbf52d52a, 0x3f43e096, 0x3e03a5d2, 0xbd9f17d7,
    0x3e89ca20, 0xbe901603, 0xbeffe71a, 0x3d9e6336,
    0xbd2a5dd1, 0x3d2cea9f, 0x3e43e11e, 0x3e8b8c02,
    0x3c9c6c8a, 0x3d2e455c, 0x3e0f9b50, 0x3dba3f00,
    0xbdc2052d, 0xbea16eac, 0xbdc2e3c6, 0xbf109605,
    0x3e2a29d7, 0xbdd4774f, 0x3ed0c880, 0x3f096cae,
    0x3f028642, 0xbed13c30, 0xbe5eeb06, 0xbded2a8f,
    0xbc3ccb9a, 0x3cfe4962, 0x3d35035a, 0x3eb44105,
    0x3e7895ef, 0x3e991a16, 0x3ef7f95b, 0xbf085af6,
    0xbec13136, 0xbe50bfa5, 0x3f1b11bd, 0x3dab4c08,
    0xbe23ec70, 0x3ec7907c, 0xbef40efd, 0x3d2560fa,
    0x399b4a32, 0x3dbbabee, 0x3e37e3bc, 0x3e081e59,
    0x3f1ce717, 0x3eceddd8, 0x3e971017, 0x3dd604a5,
    0xbe97a6e5, 0xbece0264, 0x3e014c64, 0xbe5c1b5b,
    0xbdce5053, 0x3e1a7a2f, 0x3d072903, 0x3d957b30,
    0xbe3594ff, 0xbda3141f, 0x3e7f7c41, 0x3dbe4a9e,
    0x3e07cc2e, 0x3d92e558, 0x3ebce627, 0xbe89eac9,
    0x3de1cde1, 0x3f03cc06, 0x3f06fc00, 0x3eaaa9d4,
    0x3e0f6371, 0x3ea372ef, 0xbee4dc77, 0xbe11c257,
    0x3eff5677, 0xbec7a29b, 0xbd91675f, 0xbe1decd9,
    0xbebcabad, 0xbc050d73, 0xbe35d4b4, 0x3f10bcbc,
    0x3eab560d, 0x3ef9ac0d, 0xbea4ae04, 0x3ea1a021,
    0xbe0912bc, 0xbd828c6b, 0x3dd360ff, 0x3e8e52d8,
    0x3f09d101, 0x3cc5ece9, 0xbe38a087, 0xbe8d5bcb,
    0xbed72907, 0x3e8baa49, 0x3ddfaf71, 0xbe2648ed,
    0xbf2698e2, 0x3e45d2e7, 0x3e29c435, 0x3d0c12be,
    0xbc79a348, 0xbe4b252e, 0x3f0f0ff2, 0x3e0e3e7a,
    0x3ef95925, 0x3b989e49, 0xbde1cc9e, 0x3d0515b5,
    0x3e3f16a8, 0xbe7c6c27, 0x3ee8988b, 0xbdb27ca2,
    0xbcab0d60, 0xbd6a8f23, 0x3eb98b7d, 0xbca45d48,
    0x3c19ded1, 0xbea89e71, 0xbed24128, 0x3e09fde4,
    0x3df43ac3, 0xbe541bae, 0x3ea60f15, 0xbe707318,
    0x3f05f5a7, 0x3dbfe989, 0x3d9220ef, 0x3e121dc6,
    0x3e02b3f5, 0xbce4bf0c, 0xbee21b82, 0xbbc9c201,
    0xbf49340a, 0xbe0b87d2, 0xbe06d135, 0x3da18c2f,
    0xbd659ec7, 0xbdf6abfa, 0x3e1e3941, 0xbe352abf,
    0x3e0cd488, 0xbf068be9, 0x3e9fce0d, 0xbf0ed6ba,
    0xbe8b5732, 0xbee4184f, 0xbf061306, 0x3d85f86f,
    0x3e3f17d9, 0x3ead9743, 0x3e9d5701, 0xbd7985e2,
    0xbec07842, 0x3defe89d, 0xbe160f3e, 0xbf212777,
    0x3e877617, 0xbecaf7e2, 0xbe999374, 0x3ed08934,
    0xbd569357, 0xbe9f60c8, 0x3ea4789e, 0x3f02c264,
    0xbe7bc610, 0xbe8378d0, 0xbf300c7b, 0xbe81775e,
    0xbb1ecba2, 0x3df7abe7, 0xbe7f2538, 0x3cf4659c,
    0x3e4413a4, 0x3e3d3926, 0xbec5d21b, 0x3e24e1e2,
    0xbdf49120, 0x3db5d2d0, 0x3e817d4a, 0xbd62cdbb,
    0x3e699e80, 0x3d96d5d0, 0xbd2b652d, 0xbde4c1dc,
    0x3c386838, 0xbe383aab, 0x3dc087a8, 0xbf047b79,
    0xbe3b7d37, 0xbed02a8c, 0xbe2b8292, 0xbe186f7e,
    0xbeb94040, 0x3b977148, 0xbdcb7e2a, 0x3eef840a,
    0x3e3ecd41, 0xbe961b78, 0x3ce1e842, 0xbe0c2e67,
    0x3ed1d2b4, 0xbe71dbb2, 0xbe439d4d, 0xbf35fdec,
    0x3ef302f8, 0x3e2ef75e, 0xbe6a8a38, 0xbe846243,
    0x3ed58604, 0x3ecea73e, 0x3ea92194, 0x3f0266a0,
    0xbe06079f, 0x3ddaea4f, 0xbdbab562, 0x3d84ae6d,
    0xbbd92e48, 0xbdcb5a1b, 0xbeb17336, 0x3e9f2c5a,
    0x3f013f97, 0xbe00606d, 0xbd9f148b, 0x3f0a7242
    };

static const uint32_t in_inv[3111] = {
    0x3f000000, 0x3f3504f3, 0x3f3504f3, 0xbf3504f3,
    0x3f3504f3, 0x3f4e034f, 0xbe9f0931, 0x3f018149,
    0x3f018149, 0x3f4e034f, 0xbe9f0931, 0xbe9f0931,
    0x3f018149, 0x3f4e034f, 0x3f5408d9, 0x3eace337,
    0x3f107c31, 0x3f13b57c, 0x3ece8512, 0x3ebd23d5,
    0x3f18fb87, 0x3edf84ec, 0x3f488fa8, 0x3eaab368,
    0x3f0682f9, 0x3dafc009, 0x3ea89dae, 0x3ecb9cfa,
    0x3e033c60, 0x3f467c7c, 0x3f7a83e4, 0x3ea8f734,
    0x3f73a5f4, 0x3e9c2092, 0x3f6cb49e, 0x3f008366,
    0x3e70de4c, 0x3e3dc2f4, 0x3eefeef6, 0x3f7494f7,
    0x3f789060, 0x3f232bed, 0x3f1eac64, 0x3f5e3498,
    0x3ec30596, 0x3f48a0a1, 0x3f5da22f, 0x3f653943,
    0x3f55dde3, 0x3f5af838, 0x3ece974a, 0x3f244f5d,
    0x3d754003, 0x3f203bc5, 0x3d0bc855, 0x3db12458,
    0x3ef7607c, 0x3f22d752, 0x3e374470, 0x3e690abb,
    0x3d998beb, 0x3ec26330, 0x3f6ff024, 0x3f5592da,
    0x3e076cce, 0x3ea10d7c, 0x3ee9def0, 0x3f7fdcbe,
    0x3f678434, 0x3de1dc0e, 0x3ec2cc4f, 0x3f079885,
    0x3e4e79ee, 0x3eefbfc6, 0x3ee89c80, 0x3ebbb7fa,
    0x3d50f388, 0x3e436588, 0x3f2226d5, 0x3eca9ef5,
    0x3f1fb13a, 0x3f62ab04, 0x3f74432d, 0x3e9eeaa7,
    0x3e83dc6a, 0x3f21a522, 0x3ed956e2, 0x3e061672,
    0x3f4cca1d, 0x3e08e6d1, 0x3ef57b20, 0x3f04edd5,
    0x3ec3178b, 0x3f1e1188, 0x3f3f8ed2, 0x3e16787d,
    0x3f6dcf57, 0x3edca3a5, 0x3f0219db, 0x3f543ada,
    0x3eb74f51, 0x3f7fdf4c, 0x3f5a1998, 0x3e8c3bf7,
    0x3f2f9703, 0x3d32d616, 0x3e972607, 0x3eef6ff4,
    0x3d532d1e, 0x3e576b3c, 0x3f1b837b, 0x3f11feda,
    0x3e8fed85, 0x3f7aae19, 0x3dc224e1, 0x3ea35611,
    0x3ecbfbbd, 0x3eb32d0a, 0x3f35c2b1, 0x3edcfa48,
    0x3ee5338f, 0x3d991f63, 0x3d69bae4, 0x3e299fa1,
    0x3f45ea46, 0x3e0b05fb, 0x3f359674, 0x3f5fb3b7,
    0x3e95b057, 0x3b04baba, 0x3ec92fb2, 0x3f052ab7,
    0x3d584a94, 0x3f4c488c, 0x3f1d0e24, 0x3f027a85,
    0x3d328000, 0x3f47d08d, 0x3f75e8b4, 0x3f0931a9,
    0x3e5d4cba, 0x3e09539c, 0x3e674795, 0x3f417f84,
    0x3eae6730, 0x3f1b03c0, 0x3f0988f4, 0x3e13671b,
    0x3f3016ad, 0x3e895c21, 0x3ec5c875, 0x3eb4dad3,
    0x3f1bea2d, 0x3f6fd849, 0x3e398cc1, 0x3f2541ea,
    0x3e0e8295, 0x3f27296f, 0x3f24f10b, 0x3f2982cb,
    0x3f772086, 0x3f027ac8, 0x3f6bb4f6, 0x3eff6f4c,
    0x3f0d028a, 0x3917bdd5, 0x3ecda07b, 0x3e4e9186,
    0x3e3190d1, 0x3f51c3f0, 0x3f187747, 0x3dc2e5a8,
    0x3f4edeca, 0x3f6ca8e3, 0x3eb04f2b, 0x3ed0b49e,
    0x3f5d4973, 0x3eb00bed, 0x3f78f65a, 0x3f4ee8f3,
    0x3f375819, 0x3ed4b945, 0x3f46acb8, 0x3da13082,
    0x3f16d480, 0x3f306fef, 0x3e5ee84b, 0x3ed52a63,
    0x3e643138, 0x3d633c60, 0x3e792d13, 0x3f37b646,
    0x3db375ae, 0x3f2cdad3, 0x3e127419, 0x3f36fc26,
    0x3f639e49, 0x3f0ec919, 0x3ef4b76f, 0x3e4b2aae,
    0x3d19a192, 0x3f7aa7df, 0x3f177931, 0x3ea013ec,
    0x3f0c08a7, 0x3f2723ee, 0x3e06fac6, 0x3f541e9b,
    0x3dbc387b, 0x3f04db59, 0x3e72ac32, 0x3f61a6f8,
    0x3ee7bb95, 0x3f726bb5, 0x3f175a53, 0x3e7dcc21,
    0x3f7a23c0, 0x3f65f384, 0x3f1a6c6e, 0x3e924c62,
    0x3e8cb8bf, 0x3f2cbb6f, 0x3f52a887, 0x3f32b192,
    0x3f34445b, 0x3f3c60dd, 0x3f37f6b2, 0x3eb0e92d,
    0x3ebef028, 0x3f7ff141, 0x3e5b152f, 0x3e923e5c,
    0x3dd549f9, 0x3f7bc793, 0x3f5e6adb, 0x3dba6889,
    0x3f1bab65, 0x3f3535eb, 0x3ef96d6e, 0x3f727d67,
    0x3f2c6a5d, 0x3e7367e4, 0x3f562b5a, 0x3e6d1dcd,
    0x3ead4196, 0x3f741d7e, 0x3ef8f020, 0x3f108e04,
    0x3f0ed18d, 0x3b8c5cc5, 0x3e1136e7, 0x3e1e2c13,
    0x3ea3ba77, 0x3f2c6b27, 0x3f4f40a3, 0x3f208f65,
    0x3f35f5cf, 0x3f0b0b07, 0x3c8ede1f, 0x3f188302,
    0x3e4b7c78, 0x3f75f224, 0x3f476263, 0x3f2377af,
    0x3f72278d, 0x3e813059, 0x3f3b3083, 0x3ddbcec8,
    0x3e81aa3f, 0x3f33cddd, 0x3f07d30b, 0x3d8dd16c,
    0x3e21975f, 0x3c3187cd, 0x3b906b32, 0x3e915ee1,
    0x3f28213a, 0x3e93f7f0, 0x3e56a551, 0x3f080e9d,
    0x3f10ee39, 0x3f794962, 0x3e8f049b, 0x3e0340d5,
    0x3f221501, 0x3e03dbc2, 0x3f4c4d44, 0x3e7e0696,
    0x3e07a0b6, 0x3f7300de, 0x3e2dd873, 0x3f5f20c9,
    0x3ee07bfe, 0x3f40a750, 0x3e5a465a, 0x3f2cb652,
    0x3e376ab6, 0x3f5cea4b, 0x3ed295ea, 0x3eeb53d6,
    0x3e808d8f, 0x3e08b2ea, 0x3e871349, 0x3eba66fd,
    0x3df9085f, 0x3f70f0fa, 0x3ee5460b, 0x3f42e925,
    0x3f4f16d3, 0x3f185910, 0x3c8234f9, 0x3dea7ded,
    0x3e088095, 0x3d454fcb, 0x3f71ae60, 0x3e3bdec6,
    0x3eacfedf, 0x3f227a20, 0x3f4166e0, 0x3f3e72b9,
    0x3e59ef95, 0x3ee12642, 0x3e9b647c, 0x3f3a9e6f,
    0x3efa3d92, 0x3e8ff887, 0x3f0434d2, 0x3de53437,
    0x3f7d06cd, 0x3e952631, 0x3f094c66, 0x3eb8201d,
    0x3f6badf3, 0x3f5ad906, 0x3f5ef6a5, 0x3f5f7c35,
    0x3f5189ce, 0x3f6884d7, 0x3f3d4f37, 0x3e99a0cf,
    0x3f43a787, 0x3ecddaad, 0x3f1116ca, 0x3eaf5233,
    0x3f41c886, 0x3f669f06, 0x3e95e99f, 0x3f7b03b0,
    0x3f38d280, 0x3f08fa8b, 0x3f768d97, 0x3f55728a,
    0x3e59656f, 0x3f6b5105, 0x3f2908b3, 0x3dad2715,
    0x3ee75ab8, 0x3f77bd9d, 0x3f6cf28c, 0x3f6abb88,
    0x3dc71b98, 0x3f753826, 0x3ef4903f, 0x3eacb407,
    0x3f533ecd, 0x3f49bbcf, 0x3ee2d7b6, 0x3ecab5c4,
    0x3cdc0a22, 0x3f1c03ef, 0x3ea1d042, 0x3f21c044,
    0x3df14120, 0x3e9b72c5, 0x3e3660e5, 0x3e6be2b5,
    0x3ed00453, 0x3e15718f, 0x3f66a583, 0x3f1bfd61,
    0x3f2200c1, 0x3e410300, 0x3e1c98e5, 0x3cd61ef1,
    0x3e627137, 0x3ed69ad4, 0x3ee9d14e, 0x3e87f067,
    0x3ef6b52d, 0x3e650efe, 0x3f14e582, 0x3ed99e30,
    0x3ea9df11, 0x3f036a2f, 0x3f3552c1, 0x3dcbc383,
    0x3f55e02f, 0x3da583db, 0x3ef5742e, 0x3f4b352b,
    0x3f642ecb, 0x3ec59c6b, 0x3e24dec2, 0x3e252503,
    0x3ec574b4, 0x3e2b9ecf, 0x3f3c2a45, 0x3ea123a3,
    0x3eb55821, 0x3ea6542e, 0x3f7ef848, 0x3e8574b4,
    0x3e3d1d47, 0x3f4c18c6, 0x3edca6ec, 0x3ecb0121,
    0x3f6093fb, 0x3ea3d07d, 0x3f339fdc, 0x3d823b1b,
    0x3e1f444e, 0x3f560210, 0x3e8281dc, 0x3f3aab04,
    0x3f6d3e70, 0x3f2b394b, 0x3e4fdac7, 0x3e3d2ed8,
    0x3f2b852f, 0x3f6c579f, 0x3de50508, 0x3d275650,
    0x3f7a450b, 0x3e8a1f8e, 0x3e4fb3b7, 0x3f0a9047,
    0x3e5e3865, 0x3e19aa61, 0x3edef4e0, 0x3d10f099,
    0x3e26f47b, 0x3f351750, 0x3d0706ba, 0x3dc5692b,
    0x3f4818f8, 0x3da6aa9c, 0x3f5a704c, 0x3ea20d99,
    0x3e6f4b1f, 0x3f800000, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x3f800000, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x3f800000,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x3f800000, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x3f800000, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x3f800000, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x3f800000,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x3f800000, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x3f800000, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x3f800000, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x3f800000,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x3f800000, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x3f800000, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x3f800000, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x3f800000,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x3f800000, 0x3e0888f8, 0x3f045dea, 0x3f337b9e,
    0x3e9d0a03, 0x3dcb08a7, 0x3bae097e, 0x3f754d94,
    0x3f34156e, 0x3ddfe975, 0x3df12989, 0x3e27d780,
    0x3e9c460f, 0x3f188030, 0x3f3649d4, 0x3f63c505,
    0x3ecf68be, 0x3daf29fc, 0x3f4784cb, 0x3f439ecf,
    0x3e6c7de5, 0x3dd1a7e3, 0x3e44febd, 0x3ed0637c,
    0x3f2d6883, 0x3f0541a7, 0x3f4fc676, 0x3f7b6988,
    0x3ed618ce, 0x3e77e2c5, 0x3e8bd838, 0x3ebb91b4,
    0x3f1d8c5d, 0x3f445c9a, 0x3ec71822, 0x3f284f09,
    0x3f44f5b2, 0x3de3c18b, 0x3f55336e, 0x3f22f9db,
    0x3b3fc324, 0x3eea1d11, 0x3e68e2a0, 0x3e166e01,
    0x3e730db7, 0x3ec858bc, 0x3e6bd3c3, 0x3f700618,
    0x3e1476f3, 0x3ea85511, 0x3ebd1a22, 0x3f02a64c,
    0x3f7bb656, 0x3e8f53e7, 0x3f5844f2, 0x3f673e8a,
    0x3eb24639, 0x3e2082cf, 0x3efab496, 0x3f63ab75,
    0x3f1daa82, 0x3f2af2fa, 0x3f7f4c5e, 0x3e867297,
    0x3ef6c5d2, 0x3f781e04, 0x3cdb0509, 0x3e42bbaa,
    0x3f02a6d2, 0x3ec62329, 0x3e348b65, 0x3f1ae7c5,
    0x3f1cb274, 0x3ef56c2f, 0x3e17e7c0, 0x3f18cdd9,
    0x3ead9ab7, 0x3f28229a, 0x3eb4ff86, 0x3ef5b8fe,
    0x3f3e043a, 0x3f120429, 0x3f38e4a8, 0x3f2347fa,
    0x3cda3f46, 0x3ea5d67c, 0x3d1cd30a, 0x3f363cda,
    0x3ed920e2, 0x3f4a3704, 0x3f198d26, 0x3f1954fc,
    0x3eed8a33, 0x3f2191de, 0x3ede9963, 0x3f3fe586,
    0x3e82f816, 0x3db1fb5a, 0x3f4e79ff, 0x3f682d17,
    0x3f154110, 0x3f3a9eb2, 0x3de2089e, 0x3f4899d0,
    0x3f3f7500, 0x3f3c4641, 0x3f322bf1, 0x3e51aeb4,
    0x3ddf50e3, 0x3f0d63aa, 0x3f2b17ad, 0x3f544988,
    0x3d5994c7, 0x3e7d8a55, 0x3f7eb431, 0x3f4eaf47,
    0x3f3850f0, 0x3e6fcdab, 0x3f112578, 0x3ea7d0f2,
    0x3f7bb491, 0x3f68d456, 0x3e8d6ef0, 0x3f08e4da,
    0x3f2e8651, 0x3f270803, 0x3f593272, 0x3f450b85,
    0x3e0e8295, 0x3f48b988, 0x3f775d03, 0x3efc573a,
    0x3e357c91, 0x3ed2c1b1, 0x3f1ed18d, 0x3eb08e7a,
    0x3f60b967, 0x3e6bc44c, 0x3f3b8540, 0x3f205cdd,
    0x3ebd5ed0, 0x3ed2a77a, 0x3b17d5f5, 0x3e27f62b,
    0x3f6649e4, 0x3f1a47fe, 0x3f6ad506, 0x3f76b463,
    0x3f3ffaf4, 0x3e32bd7f, 0x3f3d2cbf, 0x3e761f9f,
    0x3e9ab778, 0x3f3b2da1, 0x3efc0a4a, 0x3ebc5b08,
    0x3ef3877b, 0x3f70258d, 0x3f127efa, 0x3f11f30e,
    0x3ec92cae, 0x3ee1b6b3, 0x3f63c244, 0x3d9997a9,
    0x3f5217c2, 0x3d89fc1d, 0x3e5501e2, 0x3e557cd4,
    0x3cb76a9b, 0x3ec6ac21, 0x3dd8c6d6, 0x3eff2607,
    0x3e513c68, 0x3f6f5f2d, 0x3f372863, 0x3d3ced77,
    0x3f22f6d7, 0x3f679a17, 0x3f5b70df, 0x3e9be426,
    0x3dc15e1f, 0x3e8b9496, 0x3f19332b, 0x3f013922,
    0x3b26dd24, 0x3cba5d29, 0x3f621cbd, 0x3f51ce7d,
    0x3f6b00ac, 0x3d801cf1, 0x3f58f27c, 0x3ead98bf,
    0x3e47bdcf, 0x3f1b35c2, 0x3f75537a, 0x3e0e1c15,
    0x3e8cf91a, 0x3ebc3c5c, 0x3f4e8ff3, 0x3f260a52,
    0x3f58e1e7, 0x3eb7227d, 0x3e2630a9, 0x3f767efa,
    0x3ce09fb3, 0x3d001712, 0x3f2e6905, 0x3e444e94,
    0x3ec0d024, 0x3d9e89a9, 0x3f494142, 0x3f076577,
    0x3e2c9108, 0x3efdf527, 0x3d5852f8, 0x3e6a9da6,
    0x3e6dc055, 0x3f254bf1, 0x3d4a17e7, 0x3f184b0a,
    0x3e47ba67, 0x3eeea9c5, 0x3dad5b5b, 0x3f2e468d,
    0x3ea44029, 0x3e1d0b74, 0x3f60b189, 0x3f618516,
    0x3f38c671, 0x3f70d057, 0x3f2fed20, 0x3e06c482,
    0x3f167f91, 0x3f3301eb, 0x3e8bbf0e, 0x3f06e7e6,
    0x3e9b45f1, 0x3f0b8738, 0x3f6a5cb3, 0x3a945a95,
    0x3e8c2b0f, 0x3f2525ab, 0x3f6a6f72, 0x3eb97269,
    0x3f78750c, 0x3f5a8cef, 0x3da576f5, 0x3efe594b,
    0x3f3f396d, 0x3eb94941, 0x3f702214, 0x3dfd3d43,
    0x3ea0a02c, 0x3f278306, 0x3e731338, 0x3f399ef9,
    0x3ed8e864, 0x3eb92210, 0x3ddd70a4, 0x3e2bd2b7,
    0x3f722c45, 0x3f2fb42d, 0x3f71906d, 0x3f007b89,
    0x3f73c340, 0x3f4929fe, 0x3f3a4085, 0x3dcde00d,
    0x3d8eab94, 0x3d0c55af, 0x3d682a71, 0x3d8ed253,
    0x3e804684, 0x3ecb5137, 0x3ed4e593, 0x3e98b9fe,
    0x3ec55b8a, 0x3ebd3c36, 0x3f18b46c, 0x3f26c743,
    0x3f031ca8, 0x3db91e4a, 0x3f53292c, 0x3f5b2eae,
    0x3f423a9f, 0x3f393d64, 0x3f65c3f0, 0x3efa7c7c,
    0x3f0d8dde, 0x3edef156, 0x3b9f4f51, 0x3f2be836,
    0x3f2bd5aa, 0x3f1a7aea, 0x3f02860e, 0x3f22ca8a,
    0x3f2c489d, 0x3f765e89, 0x3f004be4, 0x3d9ce7e8,
    0x3ec20b5f, 0x3e03671b, 0x3f7abc73, 0x3f594fce,
    0x3f3effa0, 0x3e3b5a21, 0x3e977597, 0x3f195c21,
    0x3d673076, 0x3f6091e2, 0x3e21ff71, 0x3e9eb93d,
    0x3e82c0a5, 0x3f1d6ead, 0x3d3423a3, 0x3e582e88,
    0x3f1b42ee, 0x3f0a1805, 0x3f1a132b, 0x3eeb126f,
    0x3e05a7d2, 0x3babaa12, 0x3eace4c9, 0x3bc2192a,
    0x3d0bd358, 0x3bb260fb, 0x3f034a02, 0x3e7b8562,
    0x3ded4025, 0x3f2ddfa8, 0x3ef57f0f, 0x3f42bc41,
    0x3e80d196, 0x3d3b0956, 0x3ed8ec74, 0x3f4b28b7,
    0x3e8e8790, 0x3f6015e4, 0x3ed3b6aa, 0x3e586595,
    0x3ed16851, 0x3f3abebe, 0x3ea57236, 0x3f4f9485,
    0x3db45382, 0x3f5abf12, 0x3d89f6ec, 0x3f761a3f,
    0x3f0f75c9, 0x3de578e6, 0x3f35bd30, 0x3ec00304,
    0x3e0b4fa5, 0x3f3eb325, 0x3f2389f8, 0x3f4e99a6,
    0x3ebcb3c4, 0x3edffcb9, 0x3ec84a30, 0x3ef9c2e3,
    0x3e96f8ad, 0x3f72e5ac, 0x3d24a9b3, 0x3ea65797,
    0x3f1ee621, 0x3d8ad3ce, 0x3f217d5b, 0x3f1673b4,
    0x3f6c62f6, 0x3ec97df2, 0x3ee6a811, 0x3f1449fd,
    0x3cbc58e1, 0x3e809e34, 0x3e8d80c3, 0x3f1547d0,
    0x3f628c05, 0x3e09e2bd, 0x3f18d962, 0x3f77ea2d,
    0x3f4575c0, 0x3f43295f, 0x3f77826f, 0x3f551b0d,
    0x3eed51f8, 0x3f7c4e62, 0x3f6b4c1b, 0x3e92322b,
    0x3efd3b4b, 0x3e114163, 0x3edbd6e9, 0x3e8f4b84,
    0x3d76bb7e, 0x3e77a398, 0x3df5e636, 0x3f0467ae,
    0x3f4650c6, 0x3e18882f, 0x3e9f459e, 0x3f236662,
    0x3f413ef7, 0x3f6b71fc, 0x3f5d846f, 0x3dbc699b,
    0x3f7eb11c, 0x3ef465c7, 0x3f0fb16c, 0x3e435697,
    0x3f6019d2, 0x3f2a48c7, 0x3e83c6a8, 0x3f3cbe83,
    0x3ef8348f, 0x3ed5425f, 0x3f3f0953, 0x3f6664b2,
    0x3e284f90, 0x3e627f1b, 0x3f5562e1, 0x3ec94f05,
    0x3ea2697b, 0x3e8ec1a0, 0x3dee8534, 0x3e9c6b8b,
    0x3e712a52, 0x3d959792, 0x3f53382e, 0x3f11c2e3,
    0x3f0d42a2, 0x3e37a5b1, 0x3f736998, 0x3f25d474,
    0x3f66b39a, 0x3e3508f6, 0x3e824db1, 0x3e40f840,
    0x3f225094, 0x3ea4330d, 0x3ea60631, 0x3eaec094,
    0x3f29b281, 0x3ebff477, 0x3e1452c6, 0x3e12a38c,
    0x3f26ebc4, 0x3cce8569, 0x3daea2e0, 0x3e01ef31,
    0x3f609214, 0x3f37d2e9, 0x3ed3a2e0, 0x3e042203,
    0x3dd542a2, 0x3f32e137, 0x3d567085, 0x3f149e45,
    0x3f57ae14, 0x3f3f9182, 0x3eea8f9f, 0x3f377004,
    0x3f592c49, 0x3e57368b, 0x3f13e49b, 0x3da8b9bb,
    0x3da8dd47, 0x3f064bba, 0x3f10302b, 0x3f08e68e,
    0x3f0b8ed2, 0x3efd6990, 0x3ea88b33, 0x3f14fbec,
    0x3f040da2, 0x3f3f27dd, 0x3f783c6d, 0x3ef62c34,
    0x3f58f0d8, 0x3f1c75a3, 0x3e9ca31e, 0x3eed1e32,
    0x3f6123f6, 0x3f7204b0, 0x3f52989a, 0x3f18051d,
    0x3e8e6e01, 0x3ea9fd15, 0x3d0be5e7, 0x3ea5ffc5,
    0x3cb333d4, 0x3edfa8d6, 0x3f1e7514, 0x3f45c1c6,
    0x3f2c8e04, 0x3ef81755, 0x3dc5df30, 0x3f7bae9b,
    0x3e24c09c, 0x3f504546, 0x3f22cc92, 0x3f15c7de,
    0x3e786834, 0x3ec0a84c, 0x3f31d441, 0x3f747c20,
    0x3f75ccfb, 0x3f170920, 0x3f301377, 0x3e9e208a,
    0x3e9ddc40, 0x3ea602eb, 0x3f23f20a, 0x3eee69f0,
    0x3f148a59, 0x3f6edb73, 0x3f03e857, 0x3f452ac7,
    0x3d5b96e5, 0x3f46e2ca, 0x3f24810a, 0x3e4883fd,
    0x3f2bc86d, 0x3ee092cd, 0x3ee4c0df, 0x3e9d09e1,
    0x3f6a5b64, 0x3e18dd61, 0x3f2b2980, 0x3ed83f92,
    0x3ef0acc1, 0x3e2e8e1d, 0x3f231401, 0x3f6af7d3,
    0x3f11332b, 0x3d5a2270, 0x3f454ee4, 0x3e42f5dc,
    0x3e522813, 0x3d011905, 0x3f2468ba, 0x3c85ff1e,
    0x3f314f7b, 0x3daa6cc9, 0x3d32ceda, 0x3db9993c,
    0x3f295326, 0x3db6842e, 0x3eee9ea1, 0x3f66921d,
    0x3f3e9b4a, 0x3ea869c6, 0x3f1a4e7b, 0x3f472474,
    0x3f496894, 0x3edfa765, 0x3f57af21, 0x3f1c722a,
    0x3ef63044, 0x3e44b5dd, 0x3c3e1aee, 0x3f63f76a,
    0x3d7c7f78, 0x3ec5d378, 0x3ef04c27, 0x3ce05e44,
    0x3f3b9496, 0x3ef8c2e7, 0x3ebfbe55, 0x3f088345,
    0x3e9131ec, 0x3f42644e, 0x3e0159c5, 0x3f7e5a8a,
    0x3dd334c6, 0x3eab313c, 0x3d287b64, 0x3eca46bf,
    0x3e66848c, 0x3f783b82, 0x3eefa893, 0x3e9400da,
    0x3f231bac, 0x3e9ee3b4, 0x3f2d6db1, 0x3d3a7c4d,
    0x3e8593c4, 0x3ea76b3c, 0x3d9f663a, 0x3da8dcf6,
    0x3f673cd5, 0x3ef984e4, 0x3f34e8b8, 0x3eb9d799,
    0x3d8b46a0, 0x3f53f92f, 0x3e751a87, 0x3f23032a,
    0x3f69c609, 0x3e906940, 0x3e848f54, 0x3d0a236f,
    0x3f1af76e, 0x3f7553ce, 0x3f5863bf, 0x3c28f2d3,
    0x3e7d8a55, 0x3f62f3f5, 0x3dd5e9e2, 0x3f09742e,
    0x3f7c4913, 0x3e3b82c3, 0x3f0bc622, 0x3f270b28,
    0x3f40e593, 0x3f579842, 0x3c354f6d, 0x3f369a3d,
    0x3ec07486, 0x3f4d9536, 0x3f08fc40, 0x3f4f6c48,
    0x3f0b4507, 0x3e9028e5, 0x3e0a1a50, 0x3f779043,
    0x3eaa4a6b, 0x3f6fa9b0, 0x3dc7701c, 0x3f56c248,
    0x3cbae3cc, 0x3efdc726, 0x3f2b86a1, 0x3d62a836,
    0x3c999e37, 0x3eeff738, 0x3ecdd5b2, 0x3f6992fb,
    0x3e7583e8, 0x3f101d7e, 0x3f25d50b, 0x3f45cb14,
    0x3ec332ad, 0x3f305532, 0x3f23dc16, 0x3d9a6613,
    0x3e2e075f, 0x3e94afb4, 0x3efe4884, 0x3eaea4a9,
    0x3f385101, 0x3de71b48, 0x3ef4e6c1, 0x3d55d3a7,
    0x3f4ae1ac, 0x3f1f7d74, 0x3f56527a, 0x3e8a12b6,
    0x3e9e27e1, 0x3f04c8cd, 0x3e28a1e0, 0x3e930015,
    0x3ed14962, 0x3d8a2bab, 0x3f01bae4, 0x3da54cf6,
    0x3ec3f3bf, 0x3e451b0d, 0x3f5e3d60, 0x3f2e3151,
    0x3f729ea1, 0x3f38d291, 0x3f76e17a, 0x3f35ab7e,
    0x3f4d8a11, 0x3ea0d1d9, 0x3ec42742, 0x3f175a75,
    0x3f18069e, 0x3e77ed85, 0x3f2eb10c, 0x3ef8a3f9,
    0x3f1161f6, 0x3eb12275, 0x3f70fa37, 0x3e6ed634,
    0x3f25799e, 0x3f3ca516, 0x3f06353f, 0x3f59a1fd,
    0x3e659a31, 0x3e64d7f1, 0x3f421ba0, 0x3e36bd2b,
    0x3df9ae92, 0x3f302adc, 0x3f646727, 0x3eba4aae,
    0x3e5c74b8, 0x3e3651b1, 0x3e9505af, 0x3f42084a,
    0x3f143ea7, 0x3ee20210, 0x3f48bf2b, 0x3b1c3adf,
    0x3f07955f, 0x3f0f2096, 0x3df37543, 0x3ecfe564,
    0x3f1c8484, 0x3f11b185, 0x3c9dc93f, 0x3ed62175,
    0x3f47300e, 0x3f62be6a, 0x3f5b94a7, 0x3ec86af4,
    0x3d8e6645, 0x3f78a559, 0x3f0ef1ed, 0x3eb531fd,
    0x3ee8a06f, 0x3f5b31e4, 0x3f4c8a69, 0x3ea796e1,
    0x3ed3994e, 0x3f61d074, 0x3f7a36c1, 0x3f71e892,
    0x3e8a12b6, 0x3c19b716, 0x3f43e23f, 0x3f503383,
    0x3ef1ef74, 0x3e0aeb3e, 0x3f424b12, 0x3e13bea9,
    0x3f46dd16, 0x3db3d161, 0x3f3ad5bf, 0x3ddbd406,
    0x3ec213a1, 0x3e8096ff, 0x3f0d6313, 0x3e653155,
    0x3e927f80, 0x3f58c5fc, 0x3da3affb, 0x3eab2f88,
    0x3ea6defc, 0x3f331c43, 0x3e08b157, 0x3f082f83,
    0x3f383a64, 0x3e3d7061, 0x3e289e34, 0x3f460621,
    0x3ebb4118, 0x3e798c3b, 0x3f40c437, 0x3f4998f2,
    0x3e76fd65, 0x3e775c8e, 0x3f4e696a, 0x3ddf3e8a,
    0x3e05c140, 0x3e52e05d, 0x3f511d9b, 0x3d1c8a95,
    0x3f63d5cb, 0x3f050acc, 0x3ec1b047, 0x3d083086,
    0x3ddc7475, 0x3f5270f4, 0x3f7a1177, 0x3f5d8c8f,
    0x3eae20cd, 0x3f768d33, 0x3e455c10, 0x3e895d4f,
    0x3f39fbf8, 0x3eb23832, 0x3e1426bb, 0x3ed0038a,
    0x3e894856, 0x3e91f278, 0x3f25475a, 0x3f4fa1d3,
    0x3f4d99aa, 0x3f186595, 0x3f5337b9, 0x3f22d82c,
    0x3f35690a, 0x3e438866, 0x3e82bd7f, 0x3eb65e24,
    0x3ed952d2, 0x3ed6d5d0, 0x3f5fc760, 0x3f3637bd,
    0x3e8a6373, 0x3ea32e9d, 0x3f4a1f9f, 0x3df91a33,
    0x3efb63d4, 0x3f1faaef, 0x3d6821a2, 0x3f0f02e6,
    0x3e541feb, 0x3f7586db, 0x3f6aeaea, 0x3e573f75,
    0x3eac3526, 0x3e90acc1, 0x3f56f3a1, 0x3f3fd630,
    0x3ee28f5c, 0x3f77f317, 0x3f634129, 0x3f4ae947,
    0x3f2007ff, 0x3f5d611c, 0x3d0703b0, 0x3f053501,
    0x3ea8be94, 0x3b813183, 0x3cf4821d, 0x3f2d9dbb,
    0x3f13a701, 0x3f038bac, 0x3f4c6b38, 0x3f234278,
    0x3e852e94, 0x3f69846f, 0x3f3c7a29, 0x3e56c1e3,
    0x3f6c94b4, 0x3d48ad83, 0x3ea68c8b, 0x3f2858de,
    0x3e436588, 0x3f6eb170, 0x3eb8aeda, 0x3e2d01c1,
    0x3e5b530d, 0x3f5984d3, 0x3e84e1a4, 0x3e540358,
    0x3e5def41, 0x3ef81605, 0x3ecfc9de, 0x3edab64a,
    0x3dfcc858, 0x3f60408e, 0x3f6f0dfa, 0x3ea75ff6,
    0x3ed1528f, 0x3e6d373b, 0x3f5076d1, 0x3f521145,
    0x3f007086, 0x3db3e773, 0x3eff5105, 0x3dd7292c,
    0x3dc53785, 0x3eba6245, 0x3cc0907e, 0x3bf8a127,
    0x3f09e18f, 0x3f7d0721, 0x3ea5ea25, 0x3ea1d66b,
    0x3e351a43, 0x3e31b8aa, 0x3f4cff97, 0x3f60d79d,
    0x3ec8bbb2, 0x3f7114c2, 0x3f120ba2, 0x3f7dd13d,
    0x3eab6695, 0x3f733d29, 0x3e9148bb, 0x3bd826f3,
    0x3ec1d14e, 0x3ec4a622, 0x3f4db952, 0x3f29a1a9,
    0x3f3d5a6c, 0x3ea30b18, 0x3f0b6284, 0x3ef74b1f,
    0x3f4e3886, 0x3d3abfd5, 0x3d2d981e, 0x3e3133c2,
    0x3e1a3ad2, 0x3f7c06e2, 0x3dc225b7, 0x3f4f35a0,
    0x3f5d800a, 0x3dce93e2, 0x3f269ef5, 0x3ee39581,
    0x3f14ad25, 0x3f54b924, 0x3f190204, 0x3e5fe36d,
    0x3f2d5c64, 0x3f2b4adc, 0x3f200b67, 0x3f52ac75,
    0x3f09d66b, 0x3eb1b6d4, 0x3e59ea9a, 0x3f0626a2,
    0x3f40a0e4, 0x3ed54691, 0x3f332f55, 0x3f5c31ad,
    0x3f107a9e, 0x3f27e8cd, 0x3f65b888, 0x3d9cf3cf,
    0x3f3efe82, 0x3ef45005, 0x3f2b3b43, 0x3f7f32cf,
    0x3ee2e297, 0x3d2bdd33, 0x3ec0489d, 0x3ee1b60b,
    0x3eebbde0, 0x3f497215, 0x3cd8dca6, 0x3ccd8955,
    0x3f50db27, 0x3d40fbf9, 0x3e86ffa0, 0x3c8b0d7a,
    0x3efee9ff, 0x3e5e5d18, 0x3e46afcd, 0x3d9f9fcb,
    0x3d8a494a, 0x3eb080b6, 0x3e7fd220, 0x3f11c9c5,
    0x3dfd04a3, 0x3e1029f1, 0x3e83f0dc, 0x3f7e221d,
    0x3f76fec5, 0x3f2f1df7, 0x3eb2bdc2, 0x3e9b120a,
    0x3f30b780, 0x3f0553ce, 0x3e1d06bc, 0x3f404828,
    0x3eddd97f, 0x3f315a4b, 0x3ed3f749, 0x3f2b25c4,
    0x3f4e9985, 0x3e3aeff6, 0x3c5cccf5, 0x3de37f7c,
    0x3d5de574, 0x3f67b613, 0x3f44a59c, 0x3e5da5db,
    0x3eddc747, 0x3f7c9518, 0x3f58ea9e, 0x3f46ef0b,
    0x3ee7b225, 0x3ec11f0c, 0x3f7a02b8, 0x3f402c2c,
    0x3f7f7260, 0x3eeae5de, 0x3ed2aeb0, 0x3e80e0a8,
    0x3f4caf3e, 0x3ee87e9e, 0x3ea8eb46, 0x3e12f512,
    0x3e2bc83b, 0x3cb8b8e4, 0x3f41986c, 0x3e83b4d5,
    0x3d3900ed, 0x3eae3455, 0x3f797929, 0x3f4c4b7f,
    0x3f794a5e, 0x3f099978, 0x3e99aac5, 0x3f55a123,
    0x3e0ffcdb, 0x3f68eb35, 0x3e306ea0, 0x3d5820be,
    0x3f43a11b, 0x3eb23290, 0x3e91edc0, 0x3f36a6f4,
    0x3e18b1dd, 0x3a37c98e, 0x3ee898f6, 0x3ea07b14,
    0x3eb56b23, 0x3da3cf70, 0x3ee4f1e5, 0x3ee307f2,
    0x3e78db49, 0x3dd8efbb, 0x3e11abd2, 0x3eb2fe3f,
    0x3f23024f, 0x3f125ecc, 0x3f026aa9, 0x3ef8dc12,
    0x3f4530be, 0x3e31904b, 0x3f5230db, 0x3f1684ad,
    0x3e99d25b, 0x3f35e5c1, 0x3f0000eb, 0x3e04fca4,
    0x3f06049f, 0x3ee1ebea, 0x3f115db3, 0x3f2d5b8a,
    0x3f69f395, 0x3ef79e9d, 0x3f2ba7b9, 0x3f45712a,
    0x3e983148, 0x3f3c1cb4, 0x3f32a9e7, 0x3f600bbb,
    0x3f2a0c9e, 0x3f0c6a5d, 0x3e88791c, 0x3f1f0ccc,
    0x3f5cac19, 0x3f7b504c, 0x3f07d5aa, 0x3ece4e8b,
    0x3d21059f, 0x3d6fceaa, 0x3e6dd378, 0x3edacabc,
    0x3e9ccc68, 0x3d701c5d, 0x3f3f6f7e, 0x3f30da1b,
    0x3b0e5a4b, 0x3ea4cc8a, 0x3f4e835e, 0x3ecfd912,
    0x3f17bea9, 0x3e1553ac, 0x3edec13c, 0x3f3e0f3d,
    0x3f67ec78, 0x3f64a633, 0x3de661ae, 0x3f526602,
    0x3f0e8134, 0x3ef5b9c7, 0x3ef2ebe6, 0x3f477293,
    0x3ef0c176, 0x3f122a5e, 0x3ef9fe43, 0x3f6fef4a,
    0x3f76e58a, 0x397c9e21, 0x3f3a2e7f, 0x3f71af08,
    0x3f66f72b, 0x3ef19f80, 0x3f1396af, 0x3e969f6b,
    0x3eea1dfc, 0x3f7f8b15, 0x3f10b9dc, 0x3f67a1f5,
    0x3dc7a977, 0x3ea2e361, 0x3e169c24, 0x3f02a7bd,
    0x3e775c8e, 0x3ea6e08f, 0x3f3f810f, 0x3f51ef20,
    0x3f3dfa01, 0x3f6037a4, 0x3f58e9f7, 0x3f674a23,
    0x3eeb504c, 0x3ebd610b, 0x3f7f4bd7, 0x3f131f36,
    0x3ea77ff1, 0x3f76a151, 0x3e6436b9, 0x3c786e3b,
    0x3f7d09d0, 0x3e818740, 0x3f28fb76, 0x3f532831,
    0x3f0efe1e, 0x3d3121e1, 0x3e5a083a, 0x3de579f2,
    0x3e22a1b6, 0x3f605261, 0x3f6a6890, 0x3f4cac08,
    0x3f631f58, 0x3f0c1abd, 0x3f2eb8fa, 0x3db34d5d,
    0x3f5794c8, 0x3f558ce3, 0x3f11dd3c, 0x3db9ae1a,
    0x3f38d984, 0x3eecae43, 0x3f0774cd, 0x3ef0b6d8,
    0x3efd0fa6, 0x3dfb2cc7, 0x3ded4cba, 0x3e8ef0ae,
    0x3f373c0c, 0x3f2d8a01, 0x3f7251e3, 0x3eeab94e,
    0x3e75aa71, 0x3ed74d9c, 0x3ef77015, 0x3f35df44,
    0x3e3ad602, 0x3dc4345d, 0x3f00a6fc, 0x3dada42d,
    0x3e8d3309, 0x3f3046a6, 0x3f43cb81, 0x3f280714,
    0x3ef371da, 0x3d5d10b2, 0x3ec9871e, 0x3f0e31d7,
    0x3f4e9d30, 0x3dad2575, 0x3de48cf8, 0x3ec5e786,
    0x3f202acc, 0x3ec01e04, 0x3f012ab7, 0x3ecea50d,
    0x3f048c93, 0x3eee47dc, 0x3eeb8e4c, 0x3f78508b,
    0x3e8369ba, 0x3dbb6094, 0x3efd840a, 0x3efe19db,
    0x3f74b73d, 0x3f48eca7, 0x3eb4ed91, 0x3ef42dae,
    0x3edec700, 0x3e38e432, 0x3df92d99, 0x3ecf1c54,
    0x3f27c3f8, 0x3e1e3327, 0x3ddf6a0e, 0x3f7b074a,
    0x3b8d6833, 0x3edc4418, 0x3f08572a, 0x3f238940,
    0x3e0435ad, 0x3f351a97, 0x3ddd095b, 0x3f1013db,
    0x3ee473ac, 0x3f0bc72e, 0x3eb9ef0f, 0x3e48b220,
    0x3e80d8a9, 0x3e5cd530, 0x3f767c8d, 0x3f64064b,
    0x3eca07d5, 0x3edeedab, 0x3f00b381, 0x3ef38477,
    0x3e12ec29, 0x3eb01c71, 0x3e64dc23, 0x3f50399b,
    0x3ee21b7e, 0x3f651f3f, 0x3f55e9d1, 0x3f4a05bc,
    0x3f6ab54e, 0x3e4a7829, 0x3ebac27a, 0x3e8597b3,
    0x3f6855eb, 0x3e60f1f5, 0x3eee173c, 0x3e59e237,
    0x3e24f616, 0x3df1d68c, 0x3ebe0ed8, 0x3f6a4617,
    0x3f4c6749, 0x3e49ff93, 0x3e5d64d8, 0x3f559c6b,
    0x3ef5e11a, 0x3d7da9af, 0x3e5e13b2, 0x3ed9098d,
    0x3f3c19e3, 0x3f0ea36a, 0x3f5fdc05, 0x3f2ed8d3,
    0x3ee52242, 0x3e7fe048, 0x3f04228a, 0x3e613405,
    0x3f3c2678, 0x3e9f7f4a, 0x3f3699a6, 0x3e427a20,
    0x3f7424d5, 0x3f60da1b, 0x3f1bbb0e, 0x3e929cdc,
    0x3e95d54e, 0x3f16263e, 0x3f2723bc, 0x3f05e1c1,
    0x3f1b5211, 0x3f0cbdec, 0x3f38bd88, 0x3df18b0d,
    0x3f31c6d2, 0x3decd0ff, 0x3e0a450b, 0x3e9f9f45,
    0x3ebc8c93, 0x3e3c093e, 0x3f2f8bf0, 0x3f4ee9dd,
    0x3f4df4c3, 0x3ebc1f86, 0x3e7e67d7, 0x3f734b51,
    0x3f17cd9a, 0x3eedc28f, 0x3d25f4a1, 0x3ee12168,
    0x3ed9f106, 0x3e001798, 0x3e448c2e, 0x3f15cd81,
    0x3f005e81, 0x3f421390, 0x3f04c250, 0x3ea339e2,
    0x3d519d4c, 0x3f0731c2, 0x3f3245e5, 0x3e27dbf5,
    0x3f6c61a6, 0x3f63aa15, 0x3f4dc172, 0x3f2831be,
    0x3e26149c, 0x3f1289db, 0x3ed4026d, 0x3f2d6239,
    0x3f57cbd5, 0x3f04ef13, 0x3e2dc593, 0x3ed0e779,
    0x3f5c3fe6, 0x3e6ead0c, 0x3da137a3, 0x3f57c201,
    0x3f7bffac, 0x3f48b6e9, 0x3ed3821b, 0x3f6431df,
    0x3ea5566d, 0x3f0b8844, 0x3ec923e6, 0x3e67878b,
    0x3f784a84, 0x3f0c6195, 0x3e38cda7, 0x3eaf6e61,
    0x3ea68a93, 0x3f0bb342, 0x3ee76a51, 0x3ebf6513,
    0x3f494120, 0x3e82ecf2, 0x3f5689db, 0x3dc739b0,
    0x3f1f52b9, 0x3f6419e3, 0x3f1765fe, 0x3f63ca86,
    0x3e9f23ab, 0x3ef2cfb7, 0x3f2166e0, 0x3ead712a,
    0x3ecabf34, 0x3f0ec051, 0x3cb764bb, 0x3f020eb6,
    0x3f66f0ae, 0x3ec88bdb, 0x3eae56ef, 0x3ed78f69,
    0x3f193544, 0x3e8750a0, 0x3f4c3d57, 0x3f74880e,
    0x3f7a21b8, 0x3e97f1fa, 0x3bba380a, 0x3d24f949,
    0x3f3bc4e3, 0x3e1756c9, 0x3f205e5f, 0x3f2c6ea0,
    0x3eaa57a8, 0x3e55703f, 0x3f026bf8, 0x3dfd97f6,
    0x3f78d35b, 0x3e78eb89, 0x3f5b1551, 0x3e4fba02,
    0x3ecf1498, 0x3f555582, 0x3f238822, 0x3f7634b9,
    0x3ec89119, 0x3ed19696, 0x3eeb4070, 0x3f435d9a,
    0x3f73e469, 0x3f5eb884, 0x3ea63fff, 0x3c9bed67,
    0x3f7a0696, 0x3f6f10fd, 0x3f4c397a, 0x3f729be1,
    0x3e314339, 0x3f2de7fb, 0x3c733af6, 0x3f4c1f64,
    0x3ed0fcf8, 0x3f51eb53, 0x3e22a3cf, 0x3f01f4a1,
    0x3f528cdf, 0x3e86d3fa, 0x3f2daf29, 0x3e152370,
    0x3c8317e2, 0x3ed68683, 0x3eaf8078, 0x3f5919ac,
    0x3d6ef531, 0x3f4f4b0e, 0x3edd4f16, 0x3f140a07,
    0x3f457abc, 0x3dd7268d, 0x3eb03e42, 0x3e4c4114,
    0x3f5187a5, 0x3dd1a976, 0x3f170825, 0x3f030ed4,
    0x3efd4068, 0x3d2a14a7, 0x3f059e41, 0x3ef53587,
    0x3f586163, 0x3f4c029f, 0x3d528c0f, 0x3f0d019f,
    0x3db59f7c, 0x3d9764a1, 0x3f1724fb, 0x3f24826b,
    0x3e3d87f9, 0x3d08094e, 0x3c97862f, 0x3eb93c04,
    0x3ecec700, 0x3d7e3327, 0x3f0bd3e5, 0x3edb8e2a,
    0x3f0f29b3, 0x3f13fc01, 0x3e557cd4, 0x3f061177,
    0x3e4157ef, 0x3f787d3d, 0x3e89c609, 0x3f346ca9,
    0x3e939f12, 0x3f5a9caa, 0x3f144178, 0x3ebcf0fa,
    0x3f22eaa7, 0x3e88fcf8, 0x3ed038a0, 0x3e54fdf4,
    0x3d319dd2, 0x3f4b23ee, 0x3f6c38b0, 0x3e946328,
    0x3ecc1f86, 0x3f201feb, 0x3f11def0, 0x3ed2c9d1,
    0x3ebbfc44, 0x3f4bcb2e, 0x3e78bda9, 0x3f06108c,
    0x3d29d389, 0x3ec064cb, 0x3d0f3054, 0x3d3fb720,
    0x3f05e4f7, 0x3ee4a772, 0x3f312913, 0x3f41fd15,
    0x3e285e3e, 0x3f7b4c6e, 0x3e3ab9b2, 0x3e4362a6,
    0x3f203600, 0x3f57e7b0, 0x3f602eec, 0x3eba3ec0,
    0x3f4b038e, 0x3ee8cf18, 0x3f309efe, 0x3e8677d5,
    0x3ec6770c, 0x3e5ebe9d, 0x3c3a14cf, 0x3e88192a,
    0x3edacf10, 0x3f0ca4c2, 0x3ea231e8, 0x3eeb5265,
    0x3f23720d, 0x3d6bc368, 0x3f054a5e, 0x3f5a6f93,
    0x3d97eca1, 0x3f24f11b, 0x3e77292c, 0x3b7ef53e,
    0x3e01a3f4, 0x3f1bb331, 0x3f401a7a, 0x3e0bf26f,
    0x3efa8028, 0x3f251fd6, 0x3f6e9457, 0x3f18d930,
    0x3f0083cb, 0x3f2ddef0, 0x3f3ef683, 0x3f40d307,
    0x3bab06a9, 0x3f5f383f, 0x3ece0653, 0x3f399275,
    0x3eb0a372, 0x3f18b08e, 0x3f41b552, 0x3dcc6fa2,
    0x3f77f5d8, 0x3f1aecaf, 0x3f086b6a, 0x3f2751ce,
    0x3df47d80, 0x3e90fb01, 0x3e8239a4, 0x3f4803ac,
    0x3e17f3cf, 0x3f6cbb3d, 0x3f24aea7, 0x3ef779a7,
    0x3ee3c46e, 0x3f022520, 0x3ec2b474, 0x3f4b3786,
    0x3eaf1c97, 0x3ee3e61d, 0x3f024d5e, 0x3d28650e,
    0x3d932d03, 0x3ed2ffb0, 0x3e86bd90, 0x3f2bc2a9,
    0x3f3cc858, 0x3f471d60, 0x3f0a363b, 0x3eac1355,
    0x3f764e9c, 0x3ea528d0, 0x3ea71ae3, 0x3f123316,
    0x3f2fa861, 0x39e98a14, 0x3f1346ed, 0x3f12f901,
    0x3d9224ee, 0x3e3aeee9, 0x3f738d0d, 0x3daba7b9,
    0x3f0090b4, 0x3e369b5a, 0x3f562c45, 0x3f19001d,
    0x3f32a811, 0x3edda74c, 0x3f6c7d1c, 0x3e028b6e,
    0x3f6186ec, 0x3f789cb2, 0x3e0e6299, 0x3e516617,
    0x3f047315, 0x3f0ee654, 0x3ef0f6ad, 0x3f7e834d,
    0x3f627536, 0x3efd23b3, 0x3f1b4eec, 0x3dc0c35a,
    0x3f5b3322, 0x3f3ed6fe, 0x3f293c36, 0x3e3eabbd,
    0x3f4cfa9c, 0x3f0bbeec, 0x3f486445, 0x3e2844d0,
    0x3f1108c4, 0x3e6ffc54, 0x3ee77532, 0x3f0e6245,
    0x3ecf52b9, 0x3f50476f, 0x3f1ad9be, 0x3f5002e2,
    0x3dd78ee3, 0x3efd81ae, 0x3f1fb763, 0x3ecfe261,
    0x3f103340, 0x3ed8a99b, 0x3f6ac301, 0x3f211937,
    0x3eb59839, 0x3f2344b3, 0x3c5008c1, 0x3eceb7cc,
    0x3e8ac12b, 0x3cc41d31, 0x3f3dc769, 0x3a473886,
    0x3ce434c8, 0x3f59a198, 0x3f1f72d6, 0x3e9cbea5,
    0x3e9dfb0d, 0x3e7dd2af, 0x3f45e918, 0x3e28919f,
    0x3f4b25a2, 0x3f0dbc77, 0x3f3cd478, 0x3e43d534,
    0x3f636156, 0x3d850b60, 0x3dab2b6a, 0x3ea3c3c6,
    0x3ce75a4c, 0x3f54317b, 0x3f1fa29c, 0x3eb38822,
    0x3ea8b546, 0x3f403ce2, 0x3f7b3b97, 0x3f3ea66e,
    0x3e25c0ba, 0x3c6c7f85, 0x3f0f5b0c, 0x3e89cd3e,
    0x3f2b27fe, 0x3e93dc05, 0x3f40e90c, 0x3f5841ab,
    0x3f46176e, 0x3e89e908, 0x3d558edd, 0x3f183b71,
    0x3f1632f4, 0x3ed343d9, 0x3f3c6584, 0x3f7eb4fa,
    0x3f1906bc, 0x3f47e511, 0x3f7b3ede, 0x3f631151,
    0x3f000560, 0x3f222542, 0x3f5724d9, 0x3f4c3f1c,
    0x3ecd4b27, 0x3f06f449, 0x3e018def, 0x3f59dd90,
    0x3d3e5ba0, 0x3e467b1c, 0x3f34ddb5, 0x3e43443d,
    0x3f069de9, 0x3f3885d3, 0x3f02f651, 0x3f788755,
    0x3ed2c493, 0x3eb0df59, 0x3f6a1640, 0x3f7c5921,
    0x3db4c023, 0x3ef1ffd6, 0x3e93b752, 0x3f2624ab,
    0x3f75cc21, 0x3eb0a5f0, 0x3e706749, 0x3f2e7e84,
    0x3dfad213, 0x3f16602d, 0x3e18be2f, 0x3f44572a,
    0x3e51f751, 0x3eff92d1, 0x3f3820c5, 0x3f0597e5,
    0x3f549c80, 0x3e4c16df, 0x3f57df2b, 0x3f2d3be2,
    0x3f788a26, 0x3f222f06, 0x3f1324fb, 0x3f47a98f,
    0x3f193858, 0x3f53c947, 0x3e975c8e, 0x3f20255b,
    0x3c240380, 0x3ae11fc0, 0x3e96ca25, 0x3ef2df93,
    0x3f3aaac1, 0x3eddda27, 0x3e33c148, 0x3f40079a,
    0x3e914c88, 0x3ee221c9, 0x3f0bd977, 0x3ef848bf,
    0x3ea5f0d4, 0x3f2fd44a, 0x3e163bef, 0x3f214c12,
    0x3e40cbb0, 0x3e3a2ec3, 0x3ef4c22f, 0x3cc86fdb,
    0x3ecd2999, 0x3ed5db34, 0x3f2e98bb, 0x3e243aeb,
    0x3f76a822, 0x3f7d1bf8, 0x3f5df3e9, 0x3f278067,
    0x3edd9b3d, 0x3f3d31a9, 0x3eec29bf, 0x3f0f65cb,
    0x3f43bacb, 0x3ed82ea9, 0x3f2ec83f, 0x3f0c47c3,
    0x3f21ccd9, 0x3f4a6107, 0x3f0c341a, 0x3f48ccab,
    0x3eaa81dc, 0x3f14c283, 0x3f417de1, 0x3f3316b1,
    0x3f1410c7, 0x3f5615a9, 0x3f356f97, 0x3f6b86e4,
    0x3f18c06a, 0x3ea8fece, 0x3f3fd0d0, 0x3f06e44b,
    0x3f2481b2, 0x3e306467, 0x3f016a9c, 0x3e70446b,
    0x3f049774, 0x3f6a6751, 0x3e007b35, 0x3ef67360,
    0x3e5e75bc, 0x3f674efd, 0x3e8de311, 0x3f1e25fa,
    0x3f7fc72e, 0x3f3c9236, 0x3f2741e1, 0x3e0b35f4,
    0x3d3dd54e, 0x3f25bcba, 0x3f63a3a9, 0x3daa18a3,
    0x3e0ffe2a, 0x3d2fc33c, 0x3d6b7fc6, 0x3f07b4e5,
    0x3ee28a1e, 0x3d918c85, 0x3ebb1013, 0x3ea5903a,
    0x3e99285b, 0x3e9a5fe9, 0x3f056755, 0x3ecb38b4,
    0x3f09f890, 0x3d7489c5, 0x3d2ed8c6, 0x3f479e5a,
    0x3f237e5f, 0x3f55a522, 0x3e9868ba, 0x3ee847f5,
    0x3e094b38, 0x3f6427c8, 0x3efd655e, 0x3f28521e,
    0x3e4d42c4, 0x3ed5da6a, 0x3f32fddb, 0x3f393ea3,
    0x3f374eca, 0x3f68a7a4, 0x3ea687f4, 0x3e8930e0,
    0x3f6084a5, 0x3f0c1798, 0x3f3c22bc, 0x3f351a00,
    0x3e6793de, 0x3e2ebc84, 0x3e80ec10, 0x3ebea423,
    0x3eeb66f9, 0x3f7f7a4e, 0x3f1c8d8f, 0x3f0849ed,
    0x3f01b3f2, 0x3f5afd65, 0x3e661911, 0x3ecffa7f,
    0x3e9bd189, 0x3f2a5d8d, 0x3e8ad85e, 0x3e96b0b8,
    0x3f31ebd9, 0x3ed88ce7, 0x3eb3660e, 0x3f68b791,
    0x3ead0071, 0x3dec7fbb, 0x3f12b0d9, 0x3c110a34,
    0x3f02fff3, 0x3ed13c47, 0x3ee9ed7c, 0x3f6ebb56,
    0x3ec8ed3e, 0x3f0ebbfd, 0x3e57342f, 0x3eaa31e8,
    0x3f7b3765, 0x3da58403, 0x3f4451fc, 0x3f718c8f,
    0x3e4bebe1, 0x3f71af08, 0x3f2bcd36, 0x3ee33b10,
    0x3f2bcaa7, 0x3f765300, 0x3dae02d0, 0x3ecb28b7,
    0x3f3175e2, 0x3e6e275b, 0x3f644e83, 0x3ec7d7a1,
    0x3d4f6e32, 0x3f3e46e1, 0x3f6700de, 0x3f252e73,
    0x3e6df7e8, 0x3f09f091, 0x3ead8adb, 0x3e98ee8d,
    0x3e168f08, 0x3d824ce1, 0x3f3c473d, 0x3cdcfcc6,
    0x3f08af0c, 0x3f025c3e, 0x3db56191, 0x3de71cda,
    0x3e2fadf3, 0x3f74f399, 0x3f4c4d34, 0x3ef6a077,
    0x3f09806f, 0x3b518294, 0x3f48d8fd, 0x3e1a350d,
    0x3f5de29b, 0x3f3f7fd0, 0x3ead95bc, 0x3f4fc89f,
    0x3e6a3ec0, 0x3e12c94b, 0x3f5cf92b, 0x3f2d89ce,
    0x3c562464, 0x3ed5fbd7, 0x3f543b1d, 0x3ecb22f2,
    0x3f77e9fb, 0x3dc24357, 0x3ec3a238, 0x3f09628d,
    0x3e46ba8c, 0x3f60cc47, 0x3ea4a793, 0x3f2d8959,
    0x3eb33659, 0x3c32c260, 0x3d301f32, 0x3ef73648,
    0x3f78d91f, 0x3ec207d5, 0x3f1357d6, 0x3f5c14b6,
    0x3eb4200c, 0x3cf7e00b, 0x3f6c36db, 0x3f009625,
    0x3eb987e8, 0x3e466cb1, 0x3f238690, 0x3b9e9ea7,
    0x3d2be927, 0x3f72e957, 0x3c19c7c7, 0x3d717e27,
    0x3e6426bb, 0x3e66e4c1, 0x3f56df93, 0x3f57cdab,
    0x3f1b4c7f, 0x3f6311a5, 0x3eebc9cd, 0x3f0e6e44,
    0x3f5541d9, 0x3f657050, 0x3e037da6, 0x3f32c5c1,
    0x3e4cd78c, 0x3f500e06, 0x3ead7c91, 0x3d2b8dd3,
    0x3eaa2be0, 0x3f0d5d81, 0x3f5f3f75, 0x3f4520b0,
    0x3eebecee, 0x3ef9a049, 0x3f17368b, 0x3f371ac1,
    0x3e234374, 0x3e7b723f, 0x3ee381d8, 0x3e9c08d9,
    0x3eaa558f, 0x3e91800a, 0x3e4ea9e7, 0x3dd20c07,
    0x3f13531e, 0x3f39d4e9, 0x3f3c1d3b, 0x3e14ea4b,
    0x3e54b1ee, 0x3e7de0d6, 0x3ee8fffc, 0x3e1b9c30,
    0x3f5d118c, 0x3ec83ff7, 0x3ddc58ac, 0x3ecbba34,
    0x3e4ff10f, 0x3f7b9735, 0x3d84c52c, 0x3e92aeb0,
    0x3e79628d, 0x3f464d5e, 0x3f0dcc53, 0x3ecbf1c7,
    0x3f34c261, 0x3f47f23d, 0x3f1e0ae9, 0x3e9d2157,
    0x3f61524c, 0x3f643361, 0x3f2fa10a, 0x3f7e107b,
    0x3f2dbccb, 0x3f372703, 0x3f148f65, 0x3f0ea1b6,
    0x3db0e835, 0x3f61172f, 0x3f6aab15, 0x3ea435ad,
    0x3edf110e, 0x3f6b62b7, 0x3e00b2c8, 0x3d61b973,
    0x3f023034, 0x3e6be0df, 0x3e3a582e, 0x3f0a8987,
    0x3d985272, 0x3dea88f0, 0x3e9d87d7, 0x3ef749f1,
    0x3f4bc8e2, 0x3ebc4546, 0x3f2f9768, 0x3f5a2ced,
    0x3e95759f, 0x3b81bd19, 0x3f7b033a, 0x3f2c60fe,
    0x3f53fa4c, 0x3e39be4d, 0x3f2892de, 0x3eabb0a3,
    0x3eb1fc2b, 0x3e9e0f3d, 0x3f015305, 0x3da89cd7,
    0x3f3072d2, 0x3f3bbbd8, 0x3ec4ef46, 0x3f5f49bf,
    0x3f407097, 0x3e124207, 0x3f76f33d, 0x3f2f6f6d,
    0x3f4ffac2, 0x3ec27568, 0x3f2334c6, 0x3ddd377e,
    0x3e50f4d8, 0x3f7c8bca, 0x3f24fde3, 0x3e8abead,
    0x3ea794a7, 0x3eec38b0, 0x3ebcd39e, 0x3e87fe6d,
    0x3e81f9ad, 0x3d404337, 0x3efab0ea, 0x3bcb7d41,
    0x3edd6ead, 0x3eb486f0, 0x3f1ec53b, 0x3cb56283,
    0x3dc4ef96, 0x3c8e9c10, 0x3f0ae382, 0x3f492e0e,
    0x3f55944b, 0x3e9f85d7, 0x3d820ece, 0x3f32b25b,
    0x3ed98266, 0x3f33269e, 0x3dcd8a11, 0x3f360b1c,
    0x3ebe7925, 0x3ef353f8, 0x3d53b504, 0x3eb0ed81,
    0x3ebc21c0, 0x3ecc67e0, 0x3eb4764b, 0x3f6cf590,
    0x3da3e1af, 0x3f1f0186, 0x3e5b1359, 0x3f4bf280,
    0x3e77e77d, 0x3d9eba1a, 0x3e39103d, 0x3f4ad00b,
    0x3effd780, 0x3f0a0371, 0x3f1b456b, 0x3e8c2268,
    0x3e43ff69, 0x3e51743f, 0x3f29a251, 0x3f755d81,
    0x3f5eea42, 0x3d0dc6fd, 0x3dddf8f4, 0x3f4de99f,
    0x3d7a723c, 0x3f6d4b8c, 0x3ecc825a, 0x3e3855da,
    0x3f15ab4b, 0x3f627f80, 0x3f58a1be, 0x3e82a2e4,
    0x3f37c5df, 0x3f345e0b, 0x3eb59e62, 0x3ee8d131,
    0x3f323d71, 0x3f0ee393, 0x3f0e8bf4, 0x3ee843c4,
    0x3f5dab9f, 0x3e3ba2be, 0x3df1a438, 0x3da98b7f,
    0x3f15bd1f, 0x3ec7a52b, 0x3f00750c, 0x3f3143bf,
    0x3ee8f68c, 0x3f5705d9, 0x3ef7a765, 0x3f773509,
    0x3f30b5aa, 0x3ec1d884, 0x3f263b15, 0x3eeb33fd,
    0x3f353cbc, 0x3eb20e1f, 0x3e7048e0, 0x3eb5d91b,
    0x3f6d51d7, 0x3cdf519f, 0x3f55f938, 0x3f205c03,
    0x3f5a39f7, 0x3f57ce31, 0x3f1cee7c, 0x3ebf9d0a,
    0x3ed25764, 0x3f523476, 0x3f0b4e87, 0x3e4594af,
    0x3e63f9e8, 0x3f25944b, 0x3f617492, 0x3ea752b9,
    0x3de3e63f, 0x3f6c32a9, 0x3e6c069e, 0x3f1356a8,
    0x3f6b7953, 0x3c7505d1, 0x3f4860bb, 0x3e3fc548,
    0x3f17fcca, 0x3f79dcf9, 0x3f31c8fc, 0x3f2b0942,
    0x3f309de0, 0x3e992770, 0x3eb25a04, 0x3eb04428,
    0x3c830ae2, 0x3f0869d7, 0x3e9d7c91, 0x3e18e475,
    0x3e1984a1, 0x3f35cf35, 0x3f39bf9c, 0x3eb8344c,
    0x3efd12a9, 0x3f63f1fa, 0x3f5eee20, 0x3f2a5b85,
    0x3f35aae7, 0x3f07d7a1, 0x3f2dd7dc, 0x3f22d667,
    0x3f7a45e5, 0x3f3e53ca, 0x3f04ab0d, 0x3f41a027,
    0x3ef098d4, 0x3f33c4a0, 0x3ef96fca, 0x3e6e52df,
    0x3d0a494a, 0x3e013b19, 0x3f3df224, 0x3f0e62cc,
    0x3d2041a4, 0x3f65eeaa, 0x3f5a0ded, 0x3f5b497b,
    0x3f25d13d, 0x3d828f0c, 0x3e127286, 0x3e563a5c,
    0x3f1fc287, 0x3eed52c1, 0x3f1c2539, 0x3f7f81a6,
    0x3f53d252, 0x3d43fd86, 0x3e08bbd4, 0x3f433d8e,
    0x3d9f00e2, 0x3e10ae53, 0x3f62fc69, 0x3eb1ffb5,
    0x3c0a2634, 0x3f7a17c2, 0x3f4bdcdf, 0x3eaf7836,
    0x3e2d5ed0, 0x3915bf44, 0x3f668134, 0x3f58a3e8,
    0x3f4600b0, 0x3e5bcc6c, 0x3f737ec3, 0x3f2d2fe4,
    0x3e23aa7a, 0x3f0a8790, 0x3f593b7e, 0x3cc9ae6a,
    0x3f691255, 0x3f253038, 0x3f718e22, 0x3f7b2618,
    0x3f0019c1, 0x3e2a4a49, 0x3f393ccd, 0x3e42cf53,
    0x3e925658, 0x3f647885, 0x3f738078, 0x3f31054b,
    0x3e9dcc85, 0x3dd653ca, 0x3e887f24, 0x3f678972,
    0x3d5eafd4, 0x3f70347f, 0x3f7f0d74, 0x3e242203,
    0x3f35ab19, 0x3f3ebf87, 0x3f39eefe, 0x3f7e0924,
    0x3ea66d37, 0x3f238b9c, 0x3f5a8d11, 0x3e3d7a9a,
    0x3f1811b2, 0x3f569d73, 0x3f54318c, 0x3f03e250,
    0x3e41e0c6, 0x3ebc9afe, 0x3ea2e686, 0x3d21be61,
    0x3e24167b, 0x3f3d2407, 0x3eeb2e38, 0x3f1e68a1,
    0x3db86d9a, 0x3e34b87c, 0x3e47f3cf, 0x3d772409,
    0x3f2027fa, 0x3f4a379b, 0x3ef4851b, 0x3f094dd7,
    0x3f25d063, 0x3f5a40d9, 0x3f599f4d, 0x3f0efe50,
    0x3f644d34, 0x3e4a01ac, 0x3e459b80, 0x3e286c22,
    0x3ea3a216, 0x3f2691a7, 0x3dcdf15a, 0x3f688e7a,
    0x3e9b254e, 0x3e99c821, 0x3e3889c2, 0x3ee76c05,
    0x3f5db08a, 0x3f2224bc, 0x3f48a5f0, 0x3e891b82,
    0x3f1f60d0, 0x3f01ec3e, 0x3f699a84, 0x3f3b4b51,
    0x3f5b0a81, 0x3f58fece, 0x3f1993f7, 0x3cfa6aca,
    0x3f13cea7, 0x3f478ed2, 0x3f0339d2, 0x3eb9c971,
    0x3f0c41bc, 0x3f1a6aec, 0x3ee38ae3, 0x3f206845,
    0x3f5746aa, 0x3ec73d5c, 0x3eb4d573, 0x3d8523c1,
    0x3e31b4fe, 0x3f1d91ff, 0x3f6b9e17, 0x3e958644,
    0x3ec63f57, 0x3e47ee4e, 0x3f4d80b2, 0x3e9ceca7,
    0x3ef2aeb0, 0x3ec64fdb, 0x3de5b8dc, 0x3ef26352,
    0x3de1e8a3, 0x3ee3a40e, 0x3f19528f, 0x3f1e83b2,
    0x3f657226, 0x3f44f356, 0x3c5d0d8d, 0x3f3e3422,
    0x3f48b1ff, 0x3f3e4841, 0x3f111b93, 0x3f47d30b,
    0x3f2cd4fe, 0x3e998efc, 0x3f6677c4, 0x3f7dc055,
    0x3d5f385a, 0x3f09cb36, 0x3f383537, 0x3f097529,
    0x3f2b33ec, 0x3e8f04bc, 0x3ea5538b, 0x3eaadddf,
    0x3f165d29, 0x3f763ee2, 0x3d0c5990, 0x3e2c78ea,
    0x3f209e77, 0x3e7927d4, 0x3e4bcfd5, 0x3ef3b363,
    0x3d83ebf6, 0x3f0db0ab, 0x3f495a7d, 0x3e6fd71b,
    0x3f473d19, 0x3ec00a7c, 0x3e83e6e6, 0x3f3372e7,
    0x3f32fbd2, 0x3e8c8c2e, 0x3f43e458, 0x3edf223a,
    0x3f6a8901, 0x3f08406c, 0x3d1c2799, 0x3f666890,
    0x3e351e32, 0x3d97f5c0, 0x3f0845fe, 0x3edcbbc3,
    0x3e55c63b, 0x3f0e3c97, 0x3f07b107, 0x3c80d802,
    0x3e70f40e, 0x3e14d0dd, 0x3f15d27c, 0x3f7e3455,
    0x3f38ee7c, 0x3f3b0e0b, 0x3ed8f4d8, 0x3f594da5,
    0x3f56146a, 0x3f2396f2, 0x3eb5857b, 0x3f6bd07d,
    0x3d95f641, 0x3ec36c37, 0x3f161d54, 0x3b66edb5,
    0x3edbbc6f, 0x3e0687f4, 0x3eb8b264, 0x3e9e2f9d,
    0x3f6316d3, 0x3e7c5650, 0x3f5dc21a, 0x3f2dc337,
    0x3f59ca2a, 0x3e88dc77, 0x3e29984a, 0x3e2d798e,
    0x3f4ea455, 0x3f6678c0, 0x3deb1bbd, 0x3e136e72,
    0x3d58cb23, 0x3f1cf206, 0x3f1064dc, 0x3f391b0d,
    0x3e9fcd25, 0x3f61baf5, 0x3ec8795f, 0x0,
    0x40400000, 0x40800000, 0x40a00000
    };

static const uint16_t in_dims[98] = {
    0x0001, 0x0001, 0x0001, 0x0002, 0x0001, 0x0003, 0x0001, 0x0004,
    0x0001, 0x0003, 0x0001, 0x0008, 0x0001, 0x000B, 0x0002, 0x0001,
    0x0002, 0x0002, 0x0002, 0x0003, 0x0002, 0x0004, 0x0002, 0x0003,
    0x0002, 0x0008, 0x0002, 0x000B, 0x0003, 0x0001, 0x0003, 0x0002,
    0x0003, 0x0003, 0x0003, 0x0004, 0x0003, 0x0003, 0x0003, 0x0008,
    0x0003, 0x000B, 0x0004, 0x0001, 0x0004, 0x0002, 0x0004, 0x0003,
    0x0004, 0x0004, 0x0004, 0x0003, 0x0004, 0x0008, 0x0004, 0x000B,
    0x0003, 0x0001, 0x0003, 0x0002, 0x0003, 0x0003, 0x0003, 0x0004,
    0x0003, 0x0003, 0x0003, 0x0008, 0x0003, 0x000B, 0x0008, 0x0001,
    0x0008, 0x0002, 0x0008, 0x0003, 0x0008, 0x0004, 0x0008, 0x0003,
    0x0008, 0x0008, 0x0008, 0x000B, 0x000B, 0x0001, 0x000B, 0x0002,
    0x000B, 0x0003, 0x000B, 0x0004, 0x000B, 0x0003, 0x000B, 0x0008,
    0x000B, 0x000B
    };

static const uint16_t in_inv_dims[13] = {
    0x0001, 0x0002, 0x0003, 0x0004, 0x0007, 0x0008, 0x0009, 0x000F,
    0x0010, 0x0011, 0x0020, 0x0021, 0x0002
    };

static const uint32_t ref_add[1024] = {
    0xbd1bcb95, 0xbd1bcb95, 0xbcc9b1ff, 0xbd1bcb95,
    0xbcc9b1ff, 0x3e4785ed, 0xbd1bcb95, 0xbcc9b1ff,
    0x3e4785ed, 0xbfa26525, 0xbd1bcb95, 0xbcc9b1ff,
    0x3e4785ed, 0xbd1bcb95, 0xbcc9b1ff, 0x3e4785ed,
    0xbfa26525, 0x3f51d4ee, 0xbdc38f0f, 0x3f98b95e,
    0x3ea381bc, 0xbd1bcb95, 0xbcc9b1ff, 0x3e4785ed,
    0xbfa26525, 0x3f51d4ee, 0xbdc38f0f, 0x3f98b95e,
    0x3ea381bc, 0xbedd53fa, 0xbf035f30, 0x3e615557,
    0xbd1bcb95, 0xbcc9b1ff, 0xbd1bcb95, 0xbcc9b1ff,
    0x3e4785ed, 0xbfa26525, 0xbd1bcb95, 0xbcc9b1ff,
    0x3e4785ed, 0xbfa26525, 0x3f51d4ee, 0xbdc38f0f,
    0xbd1bcb95, 0xbcc9b1ff, 0x3e4785ed, 0xbfa26525,
    0x3f51d4ee, 0xbdc38f0f, 0x3f98b95e, 0x3ea381bc,
    0xbd1bcb95, 0xbcc9b1ff, 0x3e4785ed, 0xbfa26525,
    0x3f51d4ee, 0xbdc38f0f, 0xbd1bcb95, 0xbcc9b1ff,
    0x3e4785ed, 0xbfa26525, 0x3f51d4ee, 0xbdc38f0f,
    0x3f98b95e, 0x3ea381bc, 0xbedd53fa, 0xbf035f30,
    0x3e615557, 0xbe1e45dc, 0xbf0a5bb1, 0x3e81b932,
    0xbdc9fb86, 0xbe9b1b0a, 0xbd1bcb95, 0xbcc9b1ff,
    0x3e4785ed, 0xbfa26525, 0x3f51d4ee, 0xbdc38f0f,
    0x3f98b95e, 0x3ea381bc, 0xbedd53fa, 0xbf035f30,
    0x3e615557, 0xbe1e45dc, 0xbf0a5bb1, 0x3e81b932,
    0xbdc9fb86, 0xbe9b1b0a, 0xbd794694, 0x3e1310b4,
    0xbe93f35d, 0xbfa4a23c, 0xbe7400e0, 0x3ccf56fd,
    0xbd1bcb95, 0xbcc9b1ff, 0x3e4785ed, 0xbd1bcb95,
    0xbcc9b1ff, 0x3e4785ed, 0xbfa26525, 0x3f51d4ee,
    0xbdc38f0f, 0xbd1bcb95, 0xbcc9b1ff, 0x3e4785ed,
    0xbfa26525, 0x3f51d4ee, 0xbdc38f0f, 0x3f98b95e,
    0x3ea381bc, 0xbedd53fa, 0xbd1bcb95, 0xbcc9b1ff,
    0x3e4785ed, 0xbfa26525, 0x3f51d4ee, 0xbdc38f0f,
    0x3f98b95e, 0x3ea381bc, 0xbedd53fa, 0xbf035f30,
    0x3e615557, 0xbe1e45dc, 0xbd1bcb95, 0xbcc9b1ff,
    0x3e4785ed, 0xbfa26525, 0x3f51d4ee, 0xbdc38f0f,
    0x3f98b95e, 0x3ea381bc, 0xbedd53fa, 0xbd1bcb95,
    0xbcc9b1ff, 0x3e4785ed, 0xbfa26525, 0x3f51d4ee,
    0xbdc38f0f, 0x3f98b95e, 0x3ea381bc, 0xbedd53fa,
    0xbf035f30, 0x3e615557, 0xbe1e45dc, 0xbf0a5bb1,
    0x3e81b932, 0xbdc9fb86, 0xbe9b1b0a, 0xbd794694,
    0x3e1310b4, 0xbe93f35d, 0xbfa4a23c, 0xbe7400e0,
    0x3ccf56fd, 0xbee8214e, 0x3cafa9b4, 0xbd1bcb95,
    0xbcc9b1ff, 0x3e4785ed, 0xbfa26525, 0x3f51d4ee,
    0xbdc38f0f, 0x3f98b95e, 0x3ea381bc, 0xbedd53fa,
    0xbf035f30, 0x3e615557, 0xbe1e45dc, 0xbf0a5bb1,
    0x3e81b932, 0xbdc9fb86, 0xbe9b1b0a, 0xbd794694,
    0x3e1310b4, 0xbe93f35d, 0xbfa4a23c, 0xbe7400e0,
    0x3ccf56fd, 0xbee8214e, 0x3cafa9b4, 0xbe940e01,
    0x3e82a662, 0xbf8a511d, 0x3ed51dd2, 0xbe256231,
    0x3ea250ea, 0xbde3c068, 0xbf00502a, 0x3d27f817,
    0xbd1bcb95, 0xbcc9b1ff, 0x3e4785ed, 0xbfa26525,
    0xbd1bcb95, 0xbcc9b1ff, 0x3e4785ed, 0xbfa26525,
    0x3f51d4ee, 0xbdc38f0f, 0x3f98b95e, 0x3ea381bc,
    0xbd1bcb95, 0xbcc9b1ff, 0x3e4785ed, 0xbfa26525,
    0x3f51d4ee, 0xbdc38f0f, 0x3f98b95e, 0x3ea381bc,
    0xbedd53fa, 0xbf035f30, 0x3e615557, 0xbe1e45dc,
    0xbd1bcb95, 0xbcc9b1ff, 0x3e4785ed, 0xbfa26525,
    0x3f51d4ee, 0xbdc38f0f, 0x3f98b95e, 0x3ea381bc,
    0xbedd53fa, 0xbf035f30, 0x3e615557, 0xbe1e45dc,
    0xbf0a5bb1, 0x3e81b932, 0xbdc9fb86, 0xbe9b1b0a,
    0xbd1bcb95, 0xbcc9b1ff, 0x3e4785ed, 0xbfa26525,
    0x3f51d4ee, 0xbdc38f0f, 0x3f98b95e, 0x3ea381bc,
    0xbedd53fa, 0xbf035f30, 0x3e615557, 0xbe1e45dc,
    0xbd1bcb95, 0xbcc9b1ff, 0x3e4785ed, 0xbfa26525,
    0x3f51d4ee, 0xbdc38f0f, 0x3f98b95e, 0x3ea381bc,
    0xbedd53fa, 0xbf035f30, 0x3e615557, 0xbe1e45dc,
    0xbf0a5bb1, 0x3e81b932, 0xbdc9fb86, 0xbe9b1b0a,
    0xbd794694, 0x3e1310b4, 0xbe93f35d, 0xbfa4a23c,
    0xbe7400e0, 0x3ccf56fd, 0xbee8214e, 0x3cafa9b4,
    0xbe940e01, 0x3e82a662, 0xbf8a511d, 0x3ed51dd2,
    0xbe256231, 0x3ea250ea, 0xbde3c068, 0xbf00502a,
    0xbd1bcb95, 0xbcc9b1ff, 0x3e4785ed, 0xbfa26525,
    0x3f51d4ee, 0xbdc38f0f, 0x3f98b95e, 0x3ea381bc,
    0xbedd53fa, 0xbf035f30, 0x3e615557, 0xbe1e45dc,
    0xbf0a5bb1, 0x3e81b932, 0xbdc9fb86, 0xbe9b1b0a,
    0xbd794694, 0x3e1310b4, 0xbe93f35d, 0xbfa4a23c,
    0xbe7400e0, 0x3ccf56fd, 0xbee8214e, 0x3cafa9b4,
    0xbe940e01, 0x3e82a662, 0xbf8a511d, 0x3ed51dd2,
    0xbe256231, 0x3ea250ea, 0xbde3c068, 0xbf00502a,
    0x3d27f817, 0x3e627b3f, 0xbf1e4ba6, 0x3cf71bd7,
    0xbe6e3073, 0xbefa7817, 0xbe5611be, 0x3e86bd2d,
    0xbe9d5098, 0x3eaa145f, 0xbdc0de89, 0xbec18e07,
    0xbd1bcb95, 0xbcc9b1ff, 0x3e4785ed, 0xbd1bcb95,
    0xbcc9b1ff, 0x3e4785ed, 0xbfa26525, 0x3f51d4ee,
    0xbdc38f0f, 0xbd1bcb95, 0xbcc9b1ff, 0x3e4785ed,
    0xbfa26525, 0x3f51d4ee, 0xbdc38f0f, 0x3f98b95e,
    0x3ea381bc, 0xbedd53fa, 0xbd1bcb95, 0xbcc9b1ff,
    0x3e4785ed, 0xbfa26525, 0x3f51d4ee, 0xbdc38f0f,
    0x3f98b95e, 0x3ea381bc, 0xbedd53fa, 0xbf035f30,
    0x3e615557, 0xbe1e45dc, 0xbd1bcb95, 0xbcc9b1ff,
    0x3e4785ed, 0xbfa26525, 0x3f51d4ee, 0xbdc38f0f,
    0x3f98b95e, 0x3ea381bc, 0xbedd53fa, 0xbd1bcb95,
    0xbcc9b1ff, 0x3e4785ed, 0xbfa26525, 0x3f51d4ee,
    0xbdc38f0f, 0x3f98b95e, 0x3ea381bc, 0xbedd53fa,
    0xbf035f30, 0x3e615557, 0xbe1e45dc, 0xbf0a5bb1,
    0x3e81b932, 0xbdc9fb86, 0xbe9b1b0a, 0xbd794694,
    0x3e1310b4, 0xbe93f35d, 0xbfa4a23c, 0xbe7400e0,
    0x3ccf56fd, 0xbee8214e, 0x3cafa9b4, 0xbd1bcb95,
    0xbcc9b1ff, 0x3e4785ed, 0xbfa26525, 0x3f51d4ee,
    0xbdc38f0f, 0x3f98b95e, 0x3ea381bc, 0xbedd53fa,
    0xbf035f30, 0x3e615557, 0xbe1e45dc, 0xbf0a5bb1,
    0x3e81b932, 0xbdc9fb86, 0xbe9b1b0a, 0xbd794694,
    0x3e1310b4, 0xbe93f35d, 0xbfa4a23c, 0xbe7400e0,
    0x3ccf56fd, 0xbee8214e, 0x3cafa9b4, 0xbe940e01,
    0x3e82a662, 0xbf8a511d, 0x3ed51dd2, 0xbe256231,
    0x3ea250ea, 0xbde3c068, 0xbf00502a, 0x3d27f817,
    0xbd1bcb95, 0xbcc9b1ff, 0x3e4785ed, 0xbfa26525,
    0x3f51d4ee, 0xbdc38f0f, 0x3f98b95e, 0x3ea381bc,
    0xbd1bcb95, 0xbcc9b1ff, 0x3e4785ed, 0xbfa26525,
    0x3f51d4ee, 0xbdc38f0f, 0x3f98b95e, 0x3ea381bc,
    0xbedd53fa, 0xbf035f30, 0x3e615557, 0xbe1e45dc,
    0xbf0a5bb1, 0x3e81b932, 0xbdc9fb86, 0xbe9b1b0a,
    0xbd1bcb95, 0xbcc9b1ff, 0x3e4785ed, 0xbfa26525,
    0x3f51d4ee, 0xbdc38f0f, 0x3f98b95e, 0x3ea381bc,
    0xbedd53fa, 0xbf035f30, 0x3e615557, 0xbe1e45dc,
    0xbf0a5bb1, 0x3e81b932, 0xbdc9fb86, 0xbe9b1b0a,
    0xbd794694, 0x3e1310b4, 0xbe93f35d, 0xbfa4a23c,
    0xbe7400e0, 0x3ccf56fd, 0xbee8214e, 0x3cafa9b4,
    0xbd1bcb95, 0xbcc9b1ff, 0x3e4785ed, 0xbfa26525,
    0x3f51d4ee, 0xbdc38f0f, 0x3f98b95e, 0x3ea381bc,
    0xbedd53fa, 0xbf035f30, 0x3e615557, 0xbe1e45dc,
    0xbf0a5bb1, 0x3e81b932, 0xbdc9fb86, 0xbe9b1b0a,
    0xbd794694, 0x3e1310b4, 0xbe93f35d, 0xbfa4a23c,
    0xbe7400e0, 0x3ccf56fd, 0xbee8214e, 0x3cafa9b4,
    0xbe940e01, 0x3e82a662, 0xbf8a511d, 0x3ed51dd2,
    0xbe256231, 0x3ea250ea, 0xbde3c068, 0xbf00502a,
    0xbd1bcb95, 0xbcc9b1ff, 0x3e4785ed, 0xbfa26525,
    0x3f51d4ee, 0xbdc38f0f, 0x3f98b95e, 0x3ea381bc,
    0xbedd53fa, 0xbf035f30, 0x3e615557, 0xbe1e45dc,
    0xbf0a5bb1, 0x3e81b932, 0xbdc9fb86, 0xbe9b1b0a,
    0xbd794694, 0x3e1310b4, 0xbe93f35d, 0xbfa4a23c,
    0xbe7400e0, 0x3ccf56fd, 0xbee8214e, 0x3cafa9b4,
    0xbd1bcb95, 0xbcc9b1ff, 0x3e4785ed, 0xbfa26525,
    0x3f51d4ee, 0xbdc38f0f, 0x3f98b95e, 0x3ea381bc,
    0xbedd53fa, 0xbf035f30, 0x3e615557, 0xbe1e45dc,
    0xbf0a5bb1, 0x3e81b932, 0xbdc9fb86, 0xbe9b1b0a,
    0xbd794694, 0x3e1310b4, 0xbe93f35d, 0xbfa4a23c,
    0xbe7400e0, 0x3ccf56fd, 0xbee8214e, 0x3cafa9b4,
    0xbe940e01, 0x3e82a662, 0xbf8a511d, 0x3ed51dd2,
    0xbe256231, 0x3ea250ea, 0xbde3c068, 0xbf00502a,
    0x3d27f817, 0x3e627b3f, 0xbf1e4ba6, 0x3cf71bd7,
    0xbe6e3073, 0xbefa7817, 0xbe5611be, 0x3e86bd2d,
    0xbe9d5098, 0x3eaa145f, 0xbdc0de89, 0xbec18e07,
    0x3c422092, 0xbeb94543, 0xbeb8ff15, 0xbe6b25eb,
    0x3d83eda8, 0x3f722df3, 0x3f23c2e7, 0x3ef55119,
    0xbe92767f, 0xbe1c4464, 0xbe580349, 0x3f2d63bb,
    0xbf11d110, 0xbd09ed59, 0xbcb5adf8, 0x3f181087,
    0xbf8350c6, 0x3cdab940, 0xbcecac51, 0x3ed7ff43,
    0xbd1bcb95, 0xbcc9b1ff, 0x3e4785ed, 0xbfa26525,
    0x3f51d4ee, 0xbdc38f0f, 0x3f98b95e, 0x3ea381bc,
    0xbedd53fa, 0xbf035f30, 0x3e615557, 0xbe1e45dc,
    0xbf0a5bb1, 0x3e81b932, 0xbdc9fb86, 0xbe9b1b0a,
    0xbd794694, 0x3e1310b4, 0xbe93f35d, 0xbfa4a23c,
    0xbe7400e0, 0x3ccf56fd, 0xbee8214e, 0x3cafa9b4,
    0xbe940e01, 0x3e82a662, 0xbf8a511d, 0x3ed51dd2,
    0xbe256231, 0x3ea250ea, 0xbde3c068, 0xbf00502a,
    0x3d27f817, 0x3e627b3f, 0xbf1e4ba6, 0x3cf71bd7,
    0xbe6e3073, 0xbefa7817, 0xbe5611be, 0x3e86bd2d,
    0xbe9d5098, 0x3eaa145f, 0xbdc0de89, 0xbec18e07,
    0x3c422092, 0xbeb94543, 0xbeb8ff15, 0xbe6b25eb,
    0x3d83eda8, 0x3f722df3, 0x3f23c2e7, 0x3ef55119,
    0xbe92767f, 0xbe1c4464, 0xbe580349, 0x3f2d63bb,
    0xbf11d110, 0xbd09ed59, 0xbcb5adf8, 0x3f181087,
    0xbf8350c6, 0x3cdab940, 0xbcecac51, 0x3ed7ff43,
    0xbeb9333a, 0x3ea7d1e5, 0xbeb9f789, 0x3f4d40f8,
    0xbe39e457, 0x3ea01105, 0x3d489219, 0xbecd2da8,
    0xbd55578e, 0x3f1b3a75, 0x3e820f5e, 0xbf111e1d,
    0xbe058afa, 0x3e604563, 0x3eed0216, 0xbf732b27,
    0x3f4eeb6d, 0xbe657559, 0xbe727a50, 0xbdee1493,
    0x3f23a927, 0xbf4f07d1, 0x3e829168, 0xbf4b5742,
    0xbd1bcb95, 0xbcc9b1ff, 0x3e4785ed, 0xbfa26525,
    0x3f51d4ee, 0xbdc38f0f, 0x3f98b95e, 0x3ea381bc,
    0xbedd53fa, 0xbf035f30, 0x3e615557, 0xbd1bcb95,
    0xbcc9b1ff, 0x3e4785ed, 0xbfa26525, 0x3f51d4ee,
    0xbdc38f0f, 0x3f98b95e, 0x3ea381bc, 0xbedd53fa,
    0xbf035f30, 0x3e615557, 0xbe1e45dc, 0xbf0a5bb1,
    0x3e81b932, 0xbdc9fb86, 0xbe9b1b0a, 0xbd794694,
    0x3e1310b4, 0xbe93f35d, 0xbfa4a23c, 0xbe7400e0,
    0x3ccf56fd, 0xbd1bcb95, 0xbcc9b1ff, 0x3e4785ed,
    0xbfa26525, 0x3f51d4ee, 0xbdc38f0f, 0x3f98b95e,
    0x3ea381bc, 0xbedd53fa, 0xbf035f30, 0x3e615557,
    0xbe1e45dc, 0xbf0a5bb1, 0x3e81b932, 0xbdc9fb86,
    0xbe9b1b0a, 0xbd794694, 0x3e1310b4, 0xbe93f35d,
    0xbfa4a23c, 0xbe7400e0, 0x3ccf56fd, 0xbee8214e,
    0x3cafa9b4, 0xbe940e01, 0x3e82a662, 0xbf8a511d,
    0x3ed51dd2, 0xbe256231, 0x3ea250ea, 0xbde3c068,
    0xbf00502a, 0x3d27f817, 0xbd1bcb95, 0xbcc9b1ff,
    0x3e4785ed, 0xbfa26525, 0x3f51d4ee, 0xbdc38f0f,
    0x3f98b95e, 0x3ea381bc, 0xbedd53fa, 0xbf035f30,
    0x3e615557, 0xbe1e45dc, 0xbf0a5bb1, 0x3e81b932,
    0xbdc9fb86, 0xbe9b1b0a, 0xbd794694, 0x3e1310b4,
    0xbe93f35d, 0xbfa4a23c, 0xbe7400e0, 0x3ccf56fd,
    0xbee8214e, 0x3cafa9b4, 0xbe940e01, 0x3e82a662,
    0xbf8a511d, 0x3ed51dd2, 0xbe256231, 0x3ea250ea,
    0xbde3c068, 0xbf00502a, 0x3d27f817, 0x3e627b3f,
    0xbf1e4ba6, 0x3cf71bd7, 0xbe6e3073, 0xbefa7817,
    0xbe5611be, 0x3e86bd2d, 0xbe9d5098, 0x3eaa145f,
    0xbdc0de89, 0xbec18e07, 0xbd1bcb95, 0xbcc9b1ff,
    0x3e4785ed, 0xbfa26525, 0x3f51d4ee, 0xbdc38f0f,
    0x3f98b95e, 0x3ea381bc, 0xbedd53fa, 0xbf035f30,
    0x3e615557, 0xbe1e45dc, 0xbf0a5bb1, 0x3e81b932,
    0xbdc9fb86, 0xbe9b1b0a, 0xbd794694, 0x3e1310b4,
    0xbe93f35d, 0xbfa4a23c, 0xbe7400e0, 0x3ccf56fd,
    0xbee8214e, 0x3cafa9b4, 0xbe940e01, 0x3e82a662,
    0xbf8a511d, 0x3ed51dd2, 0xbe256231, 0x3ea250ea,
    0xbde3c068, 0xbf00502a, 0x3d27f817, 0xbd1bcb95,
    0xbcc9b1ff, 0x3e4785ed, 0xbfa26525, 0x3f51d4ee,
    0xbdc38f0f, 0x3f98b95e, 0x3ea381bc, 0xbedd53fa,
    0xbf035f30, 0x3e615557, 0xbe1e45dc, 0xbf0a5bb1,
    0x3e81b932, 0xbdc9fb86, 0xbe9b1b0a, 0xbd794694,
    0x3e1310b4, 0xbe93f35d, 0xbfa4a23c, 0xbe7400e0,
    0x3ccf56fd, 0xbee8214e, 0x3cafa9b4, 0xbe940e01,
    0x3e82a662, 0xbf8a511d, 0x3ed51dd2, 0xbe256231,
    0x3ea250ea, 0xbde3c068, 0xbf00502a, 0x3d27f817,
    0x3e627b3f, 0xbf1e4ba6, 0x3cf71bd7, 0xbe6e3073,
    0xbefa7817, 0xbe5611be, 0x3e86bd2d, 0xbe9d5098,
    0x3eaa145f, 0xbdc0de89, 0xbec18e07, 0x3c422092,
    0xbeb94543, 0xbeb8ff15, 0xbe6b25eb, 0x3d83eda8,
    0x3f722df3, 0x3f23c2e7, 0x3ef55119, 0xbe92767f,
    0xbe1c4464, 0xbe580349, 0x3f2d63bb, 0xbf11d110,
    0xbd09ed59, 0xbcb5adf8, 0x3f181087, 0xbf8350c6,
    0x3cdab940, 0xbcecac51, 0x3ed7ff43, 0xbeb9333a,
    0x3ea7d1e5, 0xbeb9f789, 0x3f4d40f8, 0xbe39e457,
    0x3ea01105, 0x3d489219, 0xbecd2da8, 0xbd55578e,
    0x3f1b3a75, 0x3e820f5e, 0xbf111e1d, 0xbe058afa,
    0x3e604563, 0x3eed0216, 0xbf732b27, 0x3f4eeb6d,
    0xbe657559, 0xbe727a50, 0xbdee1493, 0x3f23a927,
    0xbf4f07d1, 0x3e829168, 0xbf4b5742, 0xbd1bcb95,
    0xbcc9b1ff, 0x3e4785ed, 0xbfa26525, 0x3f51d4ee,
    0xbdc38f0f, 0x3f98b95e, 0x3ea381bc, 0xbedd53fa,
    0xbf035f30, 0x3e615557, 0xbe1e45dc, 0xbf0a5bb1,
    0x3e81b932, 0xbdc9fb86, 0xbe9b1b0a, 0xbd794694,
    0x3e1310b4, 0xbe93f35d, 0xbfa4a23c, 0xbe7400e0,
    0x3ccf56fd, 0xbee8214e, 0x3cafa9b4, 0xbe940e01,
    0x3e82a662, 0xbf8a511d, 0x3ed51dd2, 0xbe256231,
    0x3ea250ea, 0xbde3c068, 0xbf00502a, 0x3d27f817,
    0x3e627b3f, 0xbf1e4ba6, 0x3cf71bd7, 0xbe6e3073,
    0xbefa7817, 0xbe5611be, 0x3e86bd2d, 0xbe9d5098,
    0x3eaa145f, 0xbdc0de89, 0xbec18e07, 0x3c422092,
    0xbeb94543, 0xbeb8ff15, 0xbe6b25eb, 0x3d83eda8,
    0x3f722df3, 0x3f23c2e7, 0x3ef55119, 0xbe92767f,
    0xbe1c4464, 0xbe580349, 0x3f2d63bb, 0xbf11d110,
    0xbd09ed59, 0xbcb5adf8, 0x3f181087, 0xbf8350c6,
    0x3cdab940, 0xbcecac51, 0x3ed7ff43, 0xbeb9333a,
    0x3ea7d1e5, 0xbeb9f789, 0x3f4d40f8, 0xbe39e457,
    0x3ea01105, 0x3d489219, 0xbecd2da8, 0xbd55578e,
    0x3f1b3a75, 0x3e820f5e, 0xbf111e1d, 0xbe058afa,
    0x3e604563, 0x3eed0216, 0xbf732b27, 0x3f4eeb6d,
    0xbe657559, 0xbe727a50, 0xbdee1493, 0x3f23a927,
    0xbf4f07d1, 0x3e829168, 0xbf4b5742, 0xbe36a8c3,
    0xbf0b4d41, 0xbdec214e, 0xbe810aad, 0xbecbdc53,
    0xbece8527, 0x3cfa3b7b, 0xbe4869a1, 0x3f6be6c0,
    0x3ee7cce5, 0x3f01e96b, 0xbd02dd61, 0xbedb9546,
    0x3ef9d6b1, 0xbeb5623e, 0x3e8a19e1, 0x3ef89ea4,
    0x3e903fb8, 0xbd7a04cc, 0x3d454b24, 0x3f230aa9,
    0x3e214ed2, 0x3f1fe1e6, 0x3e22e796, 0x3e204b31,
    0x3f2ffa03, 0x3e5c9cc6, 0x3f14ce68, 0x3f400601,
    0x3e663d00, 0x3e342d72, 0xbe053ffc, 0x3ebb8285
    };

static const uint32_t ref_sub[1024] = {
    0x3e37a770, 0x3e37a770, 0x3eaf9569, 0x3e37a770,
    0x3eaf9569, 0xbdf33c10, 0x3e37a770, 0x3eaf9569,
    0xbdf33c10, 0x3ebc134e, 0x3e37a770, 0x3eaf9569,
    0xbdf33c10, 0x3e37a770, 0x3eaf9569, 0xbdf33c10,
    0x3ebc134e, 0x3ec231aa, 0xbe569680, 0xbe9838f5,
    0xbe494cf5, 0x3e37a770, 0x3eaf9569, 0xbdf33c10,
    0x3ebc134e, 0x3ec231aa, 0xbe569680, 0xbe9838f5,
    0xbe494cf5, 0x3f725667, 0xbe052346, 0x3f73bbbb,
    0x3e37a770, 0x3eaf9569, 0x3e37a770, 0x3eaf9569,
    0xbdf33c10, 0x3ebc134e, 0x3e37a770, 0x3eaf9569,
    0xbdf33c10, 0x3ebc134e, 0x3ec231aa, 0xbe569680,
    0x3e37a770, 0x3eaf9569, 0xbdf33c10, 0x3ebc134e,
    0x3ec231aa, 0xbe569680, 0xbe9838f5, 0xbe494cf5,
    0x3e37a770, 0x3eaf9569, 0xbdf33c10, 0x3ebc134e,
    0x3ec231aa, 0xbe569680, 0x3e37a770, 0x3eaf9569,
    0xbdf33c10, 0x3ebc134e, 0x3ec231aa, 0xbe569680,
    0xbe9838f5, 0xbe494cf5, 0x3f725667, 0xbe052346,
    0x3f73bbbb, 0x3ea85774, 0x3f211977, 0xbd3b2514,
    0x3f23b984, 0xbe8c5190, 0x3e37a770, 0x3eaf9569,
    0xbdf33c10, 0x3ebc134e, 0x3ec231aa, 0xbe569680,
    0xbe9838f5, 0xbe494cf5, 0x3f725667, 0xbe052346,
    0x3f73bbbb, 0x3ea85774, 0x3f211977, 0xbd3b2514,
    0x3f23b984, 0xbe8c5190, 0x3f26db94, 0x3e9b4c54,
    0x3e6c6f5c, 0x3e10f1c9, 0x3eb80680, 0x3eae742c,
    0x3e37a770, 0x3eaf9569, 0xbdf33c10, 0x3e37a770,
    0x3eaf9569, 0xbdf33c10, 0x3ebc134e, 0x3ec231aa,
    0xbe569680, 0x3e37a770, 0x3eaf9569, 0xbdf33c10,
    0x3ebc134e, 0x3ec231aa, 0xbe569680, 0xbe9838f5,
    0xbe494cf5, 0x3f725667, 0x3e37a770, 0x3eaf9569,
    0xbdf33c10, 0x3ebc134e, 0x3ec231aa, 0xbe569680,
    0xbe9838f5, 0xbe494cf5, 0x3f725667, 0xbe052346,
    0x3f73bbbb, 0x3ea85774, 0x3e37a770, 0x3eaf9569,
    0xbdf33c10, 0x3ebc134e, 0x3ec231aa, 0xbe569680,
    0xbe9838f5, 0xbe494cf5, 0x3f725667, 0x3e37a770,
    0x3eaf9569, 0xbdf33c10, 0x3ebc134e, 0x3ec231aa,
    0xbe569680, 0xbe9838f5, 0xbe494cf5, 0x3f725667,
    0xbe052346, 0x3f73bbbb, 0x3ea85774, 0x3f211977,
    0xbd3b2514, 0x3f23b984, 0xbe8c5190, 0x3f26db94,
    0x3e9b4c54, 0x3e6c6f5c, 0x3e10f1c9, 0x3eb80680,
    0x3eae742c, 0x3f04ec84, 0x3eaec774, 0x3e37a770,
    0x3eaf9569, 0xbdf33c10, 0x3ebc134e, 0x3ec231aa,
    0xbe569680, 0xbe9838f5, 0xbe494cf5, 0x3f725667,
    0xbe052346, 0x3f73bbbb, 0x3ea85774, 0x3f211977,
    0xbd3b2514, 0x3f23b984, 0xbe8c5190, 0x3f26db94,
    0x3e9b4c54, 0x3e6c6f5c, 0x3e10f1c9, 0x3eb80680,
    0x3eae742c, 0x3f04ec84, 0x3eaec774, 0x3f8ebf25,
    0xbdb72c34, 0xbeeae21b, 0x3f176c93, 0x3e2d46c3,
    0xbefdfe57, 0xbf321d0a, 0x3e0dc120, 0xbd618aa5,
    0x3e37a770, 0x3eaf9569, 0xbdf33c10, 0x3ebc134e,
    0x3e37a770, 0x3eaf9569, 0xbdf33c10, 0x3ebc134e,
    0x3ec231aa, 0xbe569680, 0xbe9838f5, 0xbe494cf5,
    0x3e37a770, 0x3eaf9569, 0xbdf33c10, 0x3ebc134e,
    0x3ec231aa, 0xbe569680, 0xbe9838f5, 0xbe494cf5,
    0x3f725667, 0xbe052346, 0x3f73bbbb, 0x3ea85774,
    0x3e37a770, 0x3eaf9569, 0xbdf33c10, 0x3ebc134e,
    0x3ec231aa, 0xbe569680, 0xbe9838f5, 0xbe494cf5,
    0x3f725667, 0xbe052346, 0x3f73bbbb, 0x3ea85774,
    0x3f211977, 0xbd3b2514, 0x3f23b984, 0xbe8c5190,
    0x3e37a770, 0x3eaf9569, 0xbdf33c10, 0x3ebc134e,
    0x3ec231aa, 0xbe569680, 0xbe9838f5, 0xbe494cf5,
    0x3f725667, 0xbe052346, 0x3f73bbbb, 0x3ea85774,
    0x3e37a770, 0x3eaf9569, 0xbdf33c10, 0x3ebc134e,
    0x3ec231aa, 0xbe569680, 0xbe9838f5, 0xbe494cf5,
    0x3f725667, 0xbe052346, 0x3f73bbbb, 0x3ea85774,
    0x3f211977, 0xbd3b2514, 0x3f23b984, 0xbe8c5190,
    0x3f26db94, 0x3e9b4c54, 0x3e6c6f5c, 0x3e10f1c9,
    0x3eb80680, 0x3eae742c, 0x3f04ec84, 0x3eaec774,
    0x3f8ebf25, 0xbdb72c34, 0xbeeae21b, 0x3f176c93,
    0x3e2d46c3, 0xbefdfe57, 0xbf321d0a, 0x3e0dc120,
    0x3e37a770, 0x3eaf9569, 0xbdf33c10, 0x3ebc134e,
    0x3ec231aa, 0xbe569680, 0xbe9838f5, 0xbe494cf5,
    0x3f725667, 0xbe052346, 0x3f73bbbb, 0x3ea85774,
    0x3f211977, 0xbd3b2514, 0x3f23b984, 0xbe8c5190,
    0x3f26db94, 0x3e9b4c54, 0x3e6c6f5c, 0x3e10f1c9,
    0x3eb80680, 0x3eae742c, 0x3f04ec84, 0x3eaec774,
    0x3f8ebf25, 0xbdb72c34, 0xbeeae21b, 0x3f176c93,
    0x3e2d46c3, 0xbefdfe57, 0xbf321d0a, 0x3e0dc120,
    0xbd618aa5, 0xbdcfd125, 0xbedf5985, 0xbf511058,
    0x3e6efea0, 0xbe461a58, 0x3e950a8f, 0xbe8f0213,
    0x3ef23540, 0x3f2166c1, 0x3e997e37, 0x3e0431d7,
    0x3e37a770, 0x3eaf9569, 0xbdf33c10, 0x3e37a770,
    0x3eaf9569, 0xbdf33c10, 0x3ebc134e, 0x3ec231aa,
    0xbe569680, 0x3e37a770, 0x3eaf9569, 0xbdf33c10,
    0x3ebc134e, 0x3ec231aa, 0xbe569680, 0xbe9838f5,
    0xbe494cf5, 0x3f725667, 0x3e37a770, 0x3eaf9569,
    0xbdf33c10, 0x3ebc134e, 0x3ec231aa, 0xbe569680,
    0xbe9838f5, 0xbe494cf5, 0x3f725667, 0xbe052346,
    0x3f73bbbb, 0x3ea85774, 0x3e37a770, 0x3eaf9569,
    0xbdf33c10, 0x3ebc134e, 0x3ec231aa, 0xbe569680,
    0xbe9838f5, 0xbe494cf5, 0x3f725667, 0x3e37a770,
    0x3eaf9569, 0xbdf33c10, 0x3ebc134e, 0x3ec231aa,
    0xbe569680, 0xbe9838f5, 0xbe494cf5, 0x3f725667,
    0xbe052346, 0x3f73bbbb, 0x3ea85774, 0x3f211977,
    0xbd3b2514, 0x3f23b984, 0xbe8c5190, 0x3f26db94,
    0x3e9b4c54, 0x3e6c6f5c, 0x3e10f1c9, 0x3eb80680,
    0x3eae742c, 0x3f04ec84, 0x3eaec774, 0x3e37a770,
    0x3eaf9569, 0xbdf33c10, 0x3ebc134e, 0x3ec231aa,
    0xbe569680, 0xbe9838f5, 0xbe494cf5, 0x3f725667,
    0xbe052346, 0x3f73bbbb, 0x3ea85774, 0x3f211977,
    0xbd3b2514, 0x3f23b984, 0xbe8c5190, 0x3f26db94,
    0x3e9b4c54, 0x3e6c6f5c, 0x3e10f1c9, 0x3eb80680,
    0x3eae742c, 0x3f04ec84, 0x3eaec774, 0x3f8ebf25,
    0xbdb72c34, 0xbeeae21b, 0x3f176c93, 0x3e2d46c3,
    0xbefdfe57, 0xbf321d0a, 0x3e0dc120, 0xbd618aa5,
    0x3e37a770, 0x3eaf9569, 0xbdf33c10, 0x3ebc134e,
    0x3ec231aa, 0xbe569680, 0xbe9838f5, 0xbe494cf5,
    0x3e37a770, 0x3eaf9569, 0xbdf33c10, 0x3ebc134e,
    0x3ec231aa, 0xbe569680, 0xbe9838f5, 0xbe494cf5,
    0x3f725667, 0xbe052346, 0x3f73bbbb, 0x3ea85774,
    0x3f211977, 0xbd3b2514, 0x3f23b984, 0xbe8c5190,
    0x3e37a770, 0x3eaf9569, 0xbdf33c10, 0x3ebc134e,
    0x3ec231aa, 0xbe569680, 0xbe9838f5, 0xbe494cf5,
    0x3f725667, 0xbe052346, 0x3f73bbbb, 0x3ea85774,
    0x3f211977, 0xbd3b2514, 0x3f23b984, 0xbe8c5190,
    0x3f26db94, 0x3e9b4c54, 0x3e6c6f5c, 0x3e10f1c9,
    0x3eb80680, 0x3eae742c, 0x3f04ec84, 0x3eaec774,
    0x3e37a770, 0x3eaf9569, 0xbdf33c10, 0x3ebc134e,
    0x3ec231aa, 0xbe569680, 0xbe9838f5, 0xbe494cf5,
    0x3f725667, 0xbe052346, 0x3f73bbbb, 0x3ea85774,
    0x3f211977, 0xbd3b2514, 0x3f23b984, 0xbe8c5190,
    0x3f26db94, 0x3e9b4c54, 0x3e6c6f5c, 0x3e10f1c9,
    0x3eb80680, 0x3eae742c, 0x3f04ec84, 0x3eaec774,
    0x3f8ebf25, 0xbdb72c34, 0xbeeae21b, 0x3f176c93,
    0x3e2d46c3, 0xbefdfe57, 0xbf321d0a, 0x3e0dc120,
    0x3e37a770, 0x3eaf9569, 0xbdf33c10, 0x3ebc134e,
    0x3ec231aa, 0xbe569680, 0xbe9838f5, 0xbe494cf5,
    0x3f725667, 0xbe052346, 0x3f73bbbb, 0x3ea85774,
    0x3f211977, 0xbd3b2514, 0x3f23b984, 0xbe8c5190,
    0x3f26db94, 0x3e9b4c54, 0x3e6c6f5c, 0x3e10f1c9,
    0x3eb80680, 0x3eae742c, 0x3f04ec84, 0x3eaec774,
    0x3e37a770, 0x3eaf9569, 0xbdf33c10, 0x3ebc134e,
    0x3ec231aa, 0xbe569680, 0xbe9838f5, 0xbe494cf5,
    0x3f725667, 0xbe052346, 0x3f73bbbb, 0x3ea85774,
    0x3f211977, 0xbd3b2514, 0x3f23b984, 0xbe8c5190,
    0x3f26db94, 0x3e9b4c54, 0x3e6c6f5c, 0x3e10f1c9,
    0x3eb80680, 0x3eae742c, 0x3f04ec84, 0x3eaec774,
    0x3f8ebf25, 0xbdb72c34, 0xbeeae21b, 0x3f176c93,
    0x3e2d46c3, 0xbefdfe57, 0xbf321d0a, 0x3e0dc120,
    0xbd618aa5, 0xbdcfd125, 0xbedf5985, 0xbf511058,
    0x3e6efea0, 0xbe461a58, 0x3e950a8f, 0xbe8f0213,
    0x3ef23540, 0x3f2166c1, 0x3e997e37, 0x3e0431d7,
    0x3ed9d873, 0xbdcd615b, 0x3ea0c992, 0xbd978203,
    0xbedc85cd, 0xbf7ce51d, 0xbea40885, 0xbf0daf4a,
    0xbf6e79b1, 0x3e3961c5, 0xbeb67821, 0x3ee66a77,
    0xbdd8c245, 0x3e6d9d45, 0xbe0c3ccb, 0x3dba8130,
    0x3dbdd816, 0xbf159aaf, 0x3f7e4fa1, 0xbe6d511c,
    0x3e37a770, 0x3eaf9569, 0xbdf33c10, 0x3ebc134e,
    0x3ec231aa, 0xbe569680, 0xbe9838f5, 0xbe494cf5,
    0x3f725667, 0xbe052346, 0x3f73bbbb, 0x3ea85774,
    0x3f211977, 0xbd3b2514, 0x3f23b984, 0xbe8c5190,
    0x3f26db94, 0x3e9b4c54, 0x3e6c6f5c, 0x3e10f1c9,
    0x3eb80680, 0x3eae742c, 0x3f04ec84, 0x3eaec774,
    0x3f8ebf25, 0xbdb72c34, 0xbeeae21b, 0x3f176c93,
    0x3e2d46c3, 0xbefdfe57, 0xbf321d0a, 0x3e0dc120,
    0xbd618aa5, 0xbdcfd125, 0xbedf5985, 0xbf511058,
    0x3e6efea0, 0xbe461a58, 0x3e950a8f, 0xbe8f0213,
    0x3ef23540, 0x3f2166c1, 0x3e997e37, 0x3e0431d7,
    0x3ed9d873, 0xbdcd615b, 0x3ea0c992, 0xbd978203,
    0xbedc85cd, 0xbf7ce51d, 0xbea40885, 0xbf0daf4a,
    0xbf6e79b1, 0x3e3961c5, 0xbeb67821, 0x3ee66a77,
    0xbdd8c245, 0x3e6d9d45, 0xbe0c3ccb, 0x3dba8130,
    0x3dbdd816, 0xbf159aaf, 0x3f7e4fa1, 0xbe6d511c,
    0x3e2df98c, 0x3edb9ad2, 0xbd5d9274, 0xbc205f1d,
    0xbd82d251, 0xbef2a999, 0xbd68ffc0, 0x3d98e888,
    0x3cf6bf31, 0xbe50192f, 0x3e33f284, 0x3e07369a,
    0xbec60931, 0x3e95303b, 0x3ed9ba8a, 0xbe3d1bf4,
    0x3ed04408, 0xbf14c765, 0xbdcd9187, 0xbf0026f1,
    0x3f1a25e0, 0x3ebcb3a7, 0xbe7a6f0c, 0x3e7cee50,
    0x3e37a770, 0x3eaf9569, 0xbdf33c10, 0x3ebc134e,
    0x3ec231aa, 0xbe569680, 0xbe9838f5, 0xbe494cf5,
    0x3f725667, 0xbe052346, 0x3f73bbbb, 0x3e37a770,
    0x3eaf9569, 0xbdf33c10, 0x3ebc134e, 0x3ec231aa,
    0xbe569680, 0xbe9838f5, 0xbe494cf5, 0x3f725667,
    0xbe052346, 0x3f73bbbb, 0x3ea85774, 0x3f211977,
    0xbd3b2514, 0x3f23b984, 0xbe8c5190, 0x3f26db94,
    0x3e9b4c54, 0x3e6c6f5c, 0x3e10f1c9, 0x3eb80680,
    0x3eae742c, 0x3e37a770, 0x3eaf9569, 0xbdf33c10,
    0x3ebc134e, 0x3ec231aa, 0xbe569680, 0xbe9838f5,
    0xbe494cf5, 0x3f725667, 0xbe052346, 0x3f73bbbb,
    0x3ea85774, 0x3f211977, 0xbd3b2514, 0x3f23b984,
    0xbe8c5190, 0x3f26db94, 0x3e9b4c54, 0x3e6c6f5c,
    0x3e10f1c9, 0x3eb80680, 0x3eae742c, 0x3f04ec84,
    0x3eaec774, 0x3f8ebf25, 0xbdb72c34, 0xbeeae21b,
    0x3f176c93, 0x3e2d46c3, 0xbefdfe57, 0xbf321d0a,
    0x3e0dc120, 0xbd618aa5, 0x3e37a770, 0x3eaf9569,
    0xbdf33c10, 0x3ebc134e, 0x3ec231aa, 0xbe569680,
    0xbe9838f5, 0xbe494cf5, 0x3f725667, 0xbe052346,
    0x3f73bbbb, 0x3ea85774, 0x3f211977, 0xbd3b2514,
    0x3f23b984, 0xbe8c5190, 0x3f26db94, 0x3e9b4c54,
    0x3e6c6f5c, 0x3e10f1c9, 0x3eb80680, 0x3eae742c,
    0x3f04ec84, 0x3eaec774, 0x3f8ebf25, 0xbdb72c34,
    0xbeeae21b, 0x3f176c93, 0x3e2d46c3, 0xbefdfe57,
    0xbf321d0a, 0x3e0dc120, 0xbd618aa5, 0xbdcfd125,
    0xbedf5985, 0xbf511058, 0x3e6efea0, 0xbe461a58,
    0x3e950a8f, 0xbe8f0213, 0x3ef23540, 0x3f2166c1,
    0x3e997e37, 0x3e0431d7, 0x3e37a770, 0x3eaf9569,
    0xbdf33c10, 0x3ebc134e, 0x3ec231aa, 0xbe569680,
    0xbe9838f5, 0xbe494cf5, 0x3f725667, 0xbe052346,
    0x3f73bbbb, 0x3ea85774, 0x3f211977, 0xbd3b2514,
    0x3f23b984, 0xbe8c5190, 0x3f26db94, 0x3e9b4c54,
    0x3e6c6f5c, 0x3e10f1c9, 0x3eb80680, 0x3eae742c,
    0x3f04ec84, 0x3eaec774, 0x3f8ebf25, 0xbdb72c34,
    0xbeeae21b, 0x3f176c93, 0x3e2d46c3, 0xbefdfe57,
    0xbf321d0a, 0x3e0dc120, 0xbd618aa5, 0x3e37a770,
    0x3eaf9569, 0xbdf33c10, 0x3ebc134e, 0x3ec231aa,
    0xbe569680, 0xbe9838f5, 0xbe494cf5, 0x3f725667,
    0xbe052346, 0x3f73bbbb, 0x3ea85774, 0x3f211977,
    0xbd3b2514, 0x3f23b984, 0xbe8c5190, 0x3f26db94,
    0x3e9b4c54, 0x3e6c6f5c, 0x3e10f1c9, 0x3eb80680,
    0x3eae742c, 0x3f04ec84, 0x3eaec774, 0x3f8ebf25,
    0xbdb72c34, 0xbeeae21b, 0x3f176c93, 0x3e2d46c3,
    0xbefdfe57, 0xbf321d0a, 0x3e0dc120, 0xbd618aa5,
    0xbdcfd125, 0xbedf5985, 0xbf511058, 0x3e6efea0,
    0xbe461a58, 0x3e950a8f, 0xbe8f0213, 0x3ef23540,
    0x3f2166c1, 0x3e997e37, 0x3e0431d7, 0x3ed9d873,
    0xbdcd615b, 0x3ea0c992, 0xbd978203, 0xbedc85cd,
    0xbf7ce51d, 0xbea40885, 0xbf0daf4a, 0xbf6e79b1,
    0x3e3961c5, 0xbeb67821, 0x3ee66a77, 0xbdd8c245,
    0x3e6d9d45, 0xbe0c3ccb, 0x3dba8130, 0x3dbdd816,
    0xbf159aaf, 0x3f7e4fa1, 0xbe6d511c, 0x3e2df98c,
    0x3edb9ad2, 0xbd5d9274, 0xbc205f1d, 0xbd82d251,
    0xbef2a999, 0xbd68ffc0, 0x3d98e888, 0x3cf6bf31,
    0xbe50192f, 0x3e33f284, 0x3e07369a, 0xbec60931,
    0x3e95303b, 0x3ed9ba8a, 0xbe3d1bf4, 0x3ed04408,
    0xbf14c765, 0xbdcd9187, 0xbf0026f1, 0x3f1a25e0,
    0x3ebcb3a7, 0xbe7a6f0c, 0x3e7cee50, 0x3e37a770,
    0x3eaf9569, 0xbdf33c10, 0x3ebc134e, 0x3ec231aa,
    0xbe569680, 0xbe9838f5, 0xbe494cf5, 0x3f725667,
    0xbe052346, 0x3f73bbbb, 0x3ea85774, 0x3f211977,
    0xbd3b2514, 0x3f23b984, 0xbe8c5190, 0x3f26db94,
    0x3e9b4c54, 0x3e6c6f5c, 0x3e10f1c9, 0x3eb80680,
    0x3eae742c, 0x3f04ec84, 0x3eaec774, 0x3f8ebf25,
    0xbdb72c34, 0xbeeae21b, 0x3f176c93, 0x3e2d46c3,
    0xbefdfe57, 0xbf321d0a, 0x3e0dc120, 0xbd618aa5,
    0xbdcfd125, 0xbedf5985, 0xbf511058, 0x3e6efea0,
    0xbe461a58, 0x3e950a8f, 0xbe8f0213, 0x3ef23540,
    0x3f2166c1, 0x3e997e37, 0x3e0431d7, 0x3ed9d873,
    0xbdcd615b, 0x3ea0c992, 0xbd978203, 0xbedc85cd,
    0xbf7ce51d, 0xbea40885, 0xbf0daf4a, 0xbf6e79b1,
    0x3e3961c5, 0xbeb67821, 0x3ee66a77, 0xbdd8c245,
    0x3e6d9d45, 0xbe0c3ccb, 0x3dba8130, 0x3dbdd816,
    0xbf159aaf, 0x3f7e4fa1, 0xbe6d511c, 0x3e2df98c,
    0x3edb9ad2, 0xbd5d9274, 0xbc205f1d, 0xbd82d251,
    0xbef2a999, 0xbd68ffc0, 0x3d98e888, 0x3cf6bf31,
    0xbe50192f, 0x3e33f284, 0x3e07369a, 0xbec60931,
    0x3e95303b, 0x3ed9ba8a, 0xbe3d1bf4, 0x3ed04408,
    0xbf14c765, 0xbdcd9187, 0xbf0026f1, 0x3f1a25e0,
    0x3ebcb3a7, 0xbe7a6f0c, 0x3e7cee50, 0x3eb3c737,
    0x3dc992e5, 0x3dc75001, 0x3f3b45a6, 0xbf153218,
    0x3e2d7a3d, 0xbf466b97, 0x3f21b6e2, 0x3e2b5c79,
    0xbf267f25, 0x3f55dff0, 0xbde931b1, 0x3e030b77,
    0x3eb3383b, 0x3f166634, 0xbf13b788, 0xbed4546e,
    0xbded6412, 0xbe094c0c, 0x3f0254e5, 0x3ea8c10b,
    0xbd2fd9b9, 0xbf022f78, 0xbe19126c, 0xbf2886fb,
    0xbe8cda1c, 0x3e9fd5d3, 0x3f85f0d4, 0x3ecf7188,
    0xbe595ac4, 0xbdffe90b, 0x3f052d67, 0x3cdb887f
    };

static const uint32_t ref_scale[1024] = {
    0x3d10b48a, 0x3d10b48a, 0x3da2fa49, 0x3d10b48a,
    0x3da2fa49, 0x3c9bcfca, 0x3d10b48a, 0x3da2fa49,
    0x3c9bcfca, 0xbe66c0a2, 0x3d10b48a, 0x3da2fa49,
    0x3c9bcfca, 0x3d10b48a, 0x3da2fa49, 0x3c9bcfca,
    0xbe66c0a2, 0x3e9976e1, 0xbd9c2f04, 0x3e655642,
    0x3cfb6d06, 0x3d10b48a, 0x3da2fa49, 0x3c9bcfca,
    0xbe66c0a2, 0x3e9976e1, 0xbd9c2f04, 0x3e655642,
    0x3cfb6d06, 0x3e03ac6a, 0xbe24a802, 0x3e960888,
    0x3d10b48a, 0x3da2fa49, 0x3d10b48a, 0x3da2fa49,
    0x3c9bcfca, 0xbe66c0a2, 0x3d10b48a, 0x3da2fa49,
    0x3c9bcfca, 0xbe66c0a2, 0x3e9976e1, 0xbd9c2f04,
    0x3d10b48a, 0x3da2fa49, 0x3c9bcfca, 0xbe66c0a2,
    0x3e9976e1, 0xbd9c2f04, 0x3e655642, 0x3cfb6d06,
    0x3d10b48a, 0x3da2fa49, 0x3c9bcfca, 0xbe66c0a2,
    0x3e9976e1, 0xbd9c2f04, 0x3d10b48a, 0x3da2fa49,
    0x3c9bcfca, 0xbe66c0a2, 0x3e9976e1, 0xbd9c2f04,
    0x3e655642, 0x3cfb6d06, 0x3e03ac6a, 0xbe24a802,
    0x3e960888, 0x3d32690c, 0x3cb5ee32, 0x3d54a920,
    0x3e0a7a13, 0xbe13b64d, 0x3d10b48a, 0x3da2fa49,
    0x3c9bcfca, 0xbe66c0a2, 0x3e9976e1, 0xbd9c2f04,
    0x3e655642, 0x3cfb6d06, 0x3e03ac6a, 0xbe24a802,
    0x3e960888, 0x3d32690c, 0x3cb5ee32, 0x3d54a920,
    0x3e0a7a13, 0xbe13b64d, 0x3e17472b, 0x3de4d4ae,
    0xbc6ddd74, 0xbe928403, 0x3cf8183e, 0x3dbb699c,
    0x3d10b48a, 0x3da2fa49, 0x3c9bcfca, 0x3d10b48a,
    0x3da2fa49, 0x3c9bcfca, 0xbe66c0a2, 0x3e9976e1,
    0xbd9c2f04, 0x3d10b48a, 0x3da2fa49, 0x3c9bcfca,
    0xbe66c0a2, 0x3e9976e1, 0xbd9c2f04, 0x3e655642,
    0x3cfb6d06, 0x3e03ac6a, 0x3d10b48a, 0x3da2fa49,
    0x3c9bcfca, 0xbe66c0a2, 0x3e9976e1, 0xbd9c2f04,
    0x3e655642, 0x3cfb6d06, 0x3e03ac6a, 0xbe24a802,
    0x3e960888, 0x3d32690c, 0x3d10b48a, 0x3da2fa49,
    0x3c9bcfca, 0xbe66c0a2, 0x3e9976e1, 0xbd9c2f04,
    0x3e655642, 0x3cfb6d06, 0x3e03ac6a, 0x3d10b48a,
    0x3da2fa49, 0x3c9bcfca, 0xbe66c0a2, 0x3e9976e1,
    0xbd9c2f04, 0x3e655642, 0x3cfb6d06, 0x3e03ac6a,
    0xbe24a802, 0x3e960888, 0x3d32690c, 0x3cb5ee32,
    0x3d54a920, 0x3e0a7a13, 0xbe13b64d, 0x3e17472b,
    0x3de4d4ae, 0xbc6ddd74, 0xbe928403, 0x3cf8183e,
    0x3dbb699c, 0x3c86dee6, 0x3db9c20f, 0x3d10b48a,
    0x3da2fa49, 0x3c9bcfca, 0xbe66c0a2, 0x3e9976e1,
    0xbd9c2f04, 0x3e655642, 0x3cfb6d06, 0x3e03ac6a,
    0xbe24a802, 0x3e960888, 0x3d32690c, 0x3cb5ee32,
    0x3d54a920, 0x3e0a7a13, 0xbe13b64d, 0x3e17472b,
    0x3de4d4ae, 0xbc6ddd74, 0xbe928403, 0x3cf8183e,
    0x3dbb699c, 0x3c86dee6, 0x3db9c20f, 0x3e537749,
    0x3d29b6aa, 0xbec509a4, 0x3e80fdbe, 0x3afc923f,
    0xbd375ada, 0xbe4e9517, 0xbdb9bfc5, 0xbb664a3a,
    0x3d10b48a, 0x3da2fa49, 0x3c9bcfca, 0xbe66c0a2,
    0x3d10b48a, 0x3da2fa49, 0x3c9bcfca, 0xbe66c0a2,
    0x3e9976e1, 0xbd9c2f04, 0x3e655642, 0x3cfb6d06,
    0x3d10b48a, 0x3da2fa49, 0x3c9bcfca, 0xbe66c0a2,
    0x3e9976e1, 0xbd9c2f04, 0x3e655642, 0x3cfb6d06,
    0x3e03ac6a, 0xbe24a802, 0x3e960888, 0x3d32690c,
    0x3d10b48a, 0x3da2fa49, 0x3c9bcfca, 0xbe66c0a2,
    0x3e9976e1, 0xbd9c2f04, 0x3e655642, 0x3cfb6d06,
    0x3e03ac6a, 0xbe24a802, 0x3e960888, 0x3d32690c,
    0x3cb5ee32, 0x3d54a920, 0x3e0a7a13, 0xbe13b64d,
    0x3d10b48a, 0x3da2fa49, 0x3c9bcfca, 0xbe66c0a2,
    0x3e9976e1, 0xbd9c2f04, 0x3e655642, 0x3cfb6d06,
    0x3e03ac6a, 0xbe24a802, 0x3e960888, 0x3d32690c,
    0x3d10b48a, 0x3da2fa49, 0x3c9bcfca, 0xbe66c0a2,
    0x3e9976e1, 0xbd9c2f04, 0x3e655642, 0x3cfb6d06,
    0x3e03ac6a, 0xbe24a802, 0x3e960888, 0x3d32690c,
    0x3cb5ee32, 0x3d54a920, 0x3e0a7a13, 0xbe13b64d,
    0x3e17472b, 0x3de4d4ae, 0xbc6ddd74, 0xbe928403,
    0x3cf8183e, 0x3dbb699c, 0x3c86dee6, 0x3db9c20f,
    0x3e537749, 0x3d29b6aa, 0xbec509a4, 0x3e80fdbe,
    0x3afc923f, 0xbd375ada, 0xbe4e9517, 0xbdb9bfc5,
    0x3d10b48a, 0x3da2fa49, 0x3c9bcfca, 0xbe66c0a2,
    0x3e9976e1, 0xbd9c2f04, 0x3e655642, 0x3cfb6d06,
    0x3e03ac6a, 0xbe24a802, 0x3e960888, 0x3d32690c,
    0x3cb5ee32, 0x3d54a920, 0x3e0a7a13, 0xbe13b64d,
    0x3e17472b, 0x3de4d4ae, 0xbc6ddd74, 0xbe928403,
    0x3cf8183e, 0x3dbb699c, 0x3c86dee6, 0x3db9c20f,
    0x3e537749, 0x3d29b6aa, 0xbec509a4, 0x3e80fdbe,
    0x3afc923f, 0xbd375ada, 0xbe4e9517, 0xbdb9bfc5,
    0xbb664a3a, 0x3cf52559, 0xbe86fc34, 0xbe495779,
    0x394e2d5e, 0xbe2ec2a1, 0x3ca806c0, 0xbb844e5f,
    0x3d29c94f, 0x3e7670f0, 0x3d528d2a, 0xbd7eea37,
    0x3d10b48a, 0x3da2fa49, 0x3c9bcfca, 0x3d10b48a,
    0x3da2fa49, 0x3c9bcfca, 0xbe66c0a2, 0x3e9976e1,
    0xbd9c2f04, 0x3d10b48a, 0x3da2fa49, 0x3c9bcfca,
    0xbe66c0a2, 0x3e9976e1, 0xbd9c2f04, 0x3e655642,
    0x3cfb6d06, 0x3e03ac6a, 0x3d10b48a, 0x3da2fa49,
    0x3c9bcfca, 0xbe66c0a2, 0x3e9976e1, 0xbd9c2f04,
    0x3e655642, 0x3cfb6d06, 0x3e03ac6a, 0xbe24a802,
    0x3e960888, 0x3d32690c, 0x3d10b48a, 0x3da2fa49,
    0x3c9bcfca, 0xbe66c0a2, 0x3e9976e1, 0xbd9c2f04,
    0x3e655642, 0x3cfb6d06, 0x3e03ac6a, 0x3d10b48a,
    0x3da2fa49, 0x3c9bcfca, 0xbe66c0a2, 0x3e9976e1,
    0xbd9c2f04, 0x3e655642, 0x3cfb6d06, 0x3e03ac6a,
    0xbe24a802, 0x3e960888, 0x3d32690c, 0x3cb5ee32,
    0x3d54a920, 0x3e0a7a13, 0xbe13b64d, 0x3e17472b,
    0x3de4d4ae, 0xbc6ddd74, 0xbe928403, 0x3cf8183e,
    0x3dbb699c, 0x3c86dee6, 0x3db9c20f, 0x3d10b48a,
    0x3da2fa49, 0x3c9bcfca, 0xbe66c0a2, 0x3e9976e1,
    0xbd9c2f04, 0x3e655642, 0x3cfb6d06, 0x3e03ac6a,
    0xbe24a802, 0x3e960888, 0x3d32690c, 0x3cb5ee32,
    0x3d54a920, 0x3e0a7a13, 0xbe13b64d, 0x3e17472b,
    0x3de4d4ae, 0xbc6ddd74, 0xbe928403, 0x3cf8183e,
    0x3dbb699c, 0x3c86dee6, 0x3db9c20f, 0x3e537749,
    0x3d29b6aa, 0xbec509a4, 0x3e80fdbe, 0x3afc923f,
    0xbd375ada, 0xbe4e9517, 0xbdb9bfc5, 0xbb664a3a,
    0x3d10b48a, 0x3da2fa49, 0x3c9bcfca, 0xbe66c0a2,
    0x3e9976e1, 0xbd9c2f04, 0x3e655642, 0x3cfb6d06,
    0x3d10b48a, 0x3da2fa49, 0x3c9bcfca, 0xbe66c0a2,
    0x3e9976e1, 0xbd9c2f04, 0x3e655642, 0x3cfb6d06,
    0x3e03ac6a, 0xbe24a802, 0x3e960888, 0x3d32690c,
    0x3cb5ee32, 0x3d54a920, 0x3e0a7a13, 0xbe13b64d,
    0x3d10b48a, 0x3da2fa49, 0x3c9bcfca, 0xbe66c0a2,
    0x3e9976e1, 0xbd9c2f04, 0x3e655642, 0x3cfb6d06,
    0x3e03ac6a, 0xbe24a802, 0x3e960888, 0x3d32690c,
    0x3cb5ee32, 0x3d54a920, 0x3e0a7a13, 0xbe13b64d,
    0x3e17472b, 0x3de4d4ae, 0xbc6ddd74, 0xbe928403,
    0x3cf8183e, 0x3dbb699c, 0x3c86dee6, 0x3db9c20f,
    0x3d10b48a, 0x3da2fa49, 0x3c9bcfca, 0xbe66c0a2,
    0x3e9976e1, 0xbd9c2f04, 0x3e655642, 0x3cfb6d06,
    0x3e03ac6a, 0xbe24a802, 0x3e960888, 0x3d32690c,
    0x3cb5ee32, 0x3d54a920, 0x3e0a7a13, 0xbe13b64d,
    0x3e17472b, 0x3de4d4ae, 0xbc6ddd74, 0xbe928403,
    0x3cf8183e, 0x3dbb699c, 0x3c86dee6, 0x3db9c20f,
    0x3e537749, 0x3d29b6aa, 0xbec509a4, 0x3e80fdbe,
    0x3afc923f, 0xbd375ada, 0xbe4e9517, 0xbdb9bfc5,
    0x3d10b48a, 0x3da2fa49, 0x3c9bcfca, 0xbe66c0a2,
    0x3e9976e1, 0xbd9c2f04, 0x3e655642, 0x3cfb6d06,
    0x3e03ac6a, 0xbe24a802, 0x3e960888, 0x3d32690c,
    0x3cb5ee32, 0x3d54a920, 0x3e0a7a13, 0xbe13b64d,
    0x3e17472b, 0x3de4d4ae, 0xbc6ddd74, 0xbe928403,
    0x3cf8183e, 0x3dbb699c, 0x3c86dee6, 0x3db9c20f,
    0x3d10b48a, 0x3da2fa49, 0x3c9bcfca, 0xbe66c0a2,
    0x3e9976e1, 0xbd9c2f04, 0x3e655642, 0x3cfb6d06,
    0x3e03ac6a, 0xbe24a802, 0x3e960888, 0x3d32690c,
    0x3cb5ee32, 0x3d54a920, 0x3e0a7a13, 0xbe13b64d,
    0x3e17472b, 0x3de4d4ae, 0xbc6ddd74, 0xbe928403,
    0x3cf8183e, 0x3dbb699c, 0x3c86dee6, 0x3db9c20f,
    0x3e537749, 0x3d29b6aa, 0xbec509a4, 0x3e80fdbe,
    0x3afc923f, 0xbd375ada, 0xbe4e9517, 0xbdb9bfc5,
    0xbb664a3a, 0x3cf52559, 0xbe86fc34, 0xbe495779,
    0x394e2d5e, 0xbe2ec2a1, 0x3ca806c0, 0xbb844e5f,
    0x3d29c94f, 0x3e7670f0, 0x3d528d2a, 0xbd7eea37,
    0x3ddfe977, 0xbdec9d99, 0xbc41ac1e, 0xbd9b7376,
    0xbdbb8a63, 0xbc2b72a0, 0x3da37d49, 0xbc9835eb,
    0xbe9bda79, 0x3be8eb04, 0xbe113ce3, 0x3e904c7b,
    0xbe2ce959, 0x3d4b21ef, 0xbd22f28a, 0x3e2f60ad,
    0xbe6ee689, 0xbe0ec4e5, 0x3e76ea3e, 0x3d42ad6a,
    0x3d10b48a, 0x3da2fa49, 0x3c9bcfca, 0xbe66c0a2,
    0x3e9976e1, 0xbd9c2f04, 0x3e655642, 0x3cfb6d06,
    0x3e03ac6a, 0xbe24a802, 0x3e960888, 0x3d32690c,
    0x3cb5ee32, 0x3d54a920, 0x3e0a7a13, 0xbe13b64d,
    0x3e17472b, 0x3de4d4ae, 0xbc6ddd74, 0xbe928403,
    0x3cf8183e, 0x3dbb699c, 0x3c86dee6, 0x3db9c20f,
    0x3e537749, 0x3d29b6aa, 0xbec509a4, 0x3e80fdbe,
    0x3afc923f, 0xbd375ada, 0xbe4e9517, 0xbdb9bfc5,
    0xbb664a3a, 0x3cf52559, 0xbe86fc34, 0xbe495779,
    0x394e2d5e, 0xbe2ec2a1, 0x3ca806c0, 0xbb844e5f,
    0x3d29c94f, 0x3e7670f0, 0x3d528d2a, 0xbd7eea37,
    0x3ddfe977, 0xbdec9d99, 0xbc41ac1e, 0xbd9b7376,
    0xbdbb8a63, 0xbc2b72a0, 0x3da37d49, 0xbc9835eb,
    0xbe9bda79, 0x3be8eb04, 0xbe113ce3, 0x3e904c7b,
    0xbe2ce959, 0x3d4b21ef, 0xbd22f28a, 0x3e2f60ad,
    0xbe6ee689, 0xbe0ec4e5, 0x3e76ea3e, 0x3d42ad6a,
    0xbd446ce9, 0x3e41b65c, 0xbdd5a9d8, 0x3e4abf7b,
    0xbd7b4d7f, 0xbd253129, 0xbb01b69a, 0xbda6f386,
    0xbbb3efeb, 0x3dce6853, 0x3ddc08a0, 0xbddea0ed,
    0xbe046757, 0x3e02a976, 0x3e635e50, 0xbe913912,
    0x3e9b86b9, 0xbe4e24bb, 0xbdaca18a, 0xbe1de984,
    0x3e9ee783, 0xbde15bfb, 0x3b2b3c2c, 0xbe0c1bae,
    0x3d10b48a, 0x3da2fa49, 0x3c9bcfca, 0xbe66c0a2,
    0x3e9976e1, 0xbd9c2f04, 0x3e655642, 0x3cfb6d06,
    0x3e03ac6a, 0xbe24a802, 0x3e960888, 0x3d10b48a,
    0x3da2fa49, 0x3c9bcfca, 0xbe66c0a2, 0x3e9976e1,
    0xbd9c2f04, 0x3e655642, 0x3cfb6d06, 0x3e03ac6a,
    0xbe24a802, 0x3e960888, 0x3d32690c, 0x3cb5ee32,
    0x3d54a920, 0x3e0a7a13, 0xbe13b64d, 0x3e17472b,
    0x3de4d4ae, 0xbc6ddd74, 0xbe928403, 0x3cf8183e,
    0x3dbb699c, 0x3d10b48a, 0x3da2fa49, 0x3c9bcfca,
    0xbe66c0a2, 0x3e9976e1, 0xbd9c2f04, 0x3e655642,
    0x3cfb6d06, 0x3e03ac6a, 0xbe24a802, 0x3e960888,
    0x3d32690c, 0x3cb5ee32, 0x3d54a920, 0x3e0a7a13,
    0xbe13b64d, 0x3e17472b, 0x3de4d4ae, 0xbc6ddd74,
    0xbe928403, 0x3cf8183e, 0x3dbb699c, 0x3c86dee6,
    0x3db9c20f, 0x3e537749, 0x3d29b6aa, 0xbec509a4,
    0x3e80fdbe, 0x3afc923f, 0xbd375ada, 0xbe4e9517,
    0xbdb9bfc5, 0xbb664a3a, 0x3d10b48a, 0x3da2fa49,
    0x3c9bcfca, 0xbe66c0a2, 0x3e9976e1, 0xbd9c2f04,
    0x3e655642, 0x3cfb6d06, 0x3e03ac6a, 0xbe24a802,
    0x3e960888, 0x3d32690c, 0x3cb5ee32, 0x3d54a920,
    0x3e0a7a13, 0xbe13b64d, 0x3e17472b, 0x3de4d4ae,
    0xbc6ddd74, 0xbe928403, 0x3cf8183e, 0x3dbb699c,
    0x3c86dee6, 0x3db9c20f, 0x3e537749, 0x3d29b6aa,
    0xbec509a4, 0x3e80fdbe, 0x3afc923f, 0xbd375ada,
    0xbe4e9517, 0xbdb9bfc5, 0xbb664a3a, 0x3cf52559,
    0xbe86fc34, 0xbe495779, 0x394e2d5e, 0xbe2ec2a1,
    0x3ca806c0, 0xbb844e5f, 0x3d29c94f, 0x3e7670f0,
    0x3d528d2a, 0xbd7eea37, 0x3d10b48a, 0x3da2fa49,
    0x3c9bcfca, 0xbe66c0a2, 0x3e9976e1, 0xbd9c2f04,
    0x3e655642, 0x3cfb6d06, 0x3e03ac6a, 0xbe24a802,
    0x3e960888, 0x3d32690c, 0x3cb5ee32, 0x3d54a920,
    0x3e0a7a13, 0xbe13b64d, 0x3e17472b, 0x3de4d4ae,
    0xbc6ddd74, 0xbe928403, 0x3cf8183e, 0x3dbb699c,
    0x3c86dee6, 0x3db9c20f, 0x3e537749, 0x3d29b6aa,
    0xbec509a4, 0x3e80fdbe, 0x3afc923f, 0xbd375ada,
    0xbe4e9517, 0xbdb9bfc5, 0xbb664a3a, 0x3d10b48a,
    0x3da2fa49, 0x3c9bcfca, 0xbe66c0a2, 0x3e9976e1,
    0xbd9c2f04, 0x3e655642, 0x3cfb6d06, 0x3e03ac6a,
    0xbe24a802, 0x3e960888, 0x3d32690c, 0x3cb5ee32,
    0x3d54a920, 0x3e0a7a13, 0xbe13b64d, 0x3e17472b,
    0x3de4d4ae, 0xbc6ddd74, 0xbe928403, 0x3cf8183e,
    0x3dbb699c, 0x3c86dee6, 0x3db9c20f, 0x3e537749,
    0x3d29b6aa, 0xbec509a4, 0x3e80fdbe, 0x3afc923f,
    0xbd375ada, 0xbe4e9517, 0xbdb9bfc5, 0xbb664a3a,
    0x3cf52559, 0xbe86fc34, 0xbe495779, 0x394e2d5e,
    0xbe2ec2a1, 0x3ca806c0, 0xbb844e5f, 0x3d29c94f,
    0x3e7670f0, 0x3d528d2a, 0xbd7eea37, 0x3ddfe977,
    0xbdec9d99, 0xbc41ac1e, 0xbd9b7376, 0xbdbb8a63,
    0xbc2b72a0, 0x3da37d49, 0xbc9835eb, 0xbe9bda79,
    0x3be8eb04, 0xbe113ce3, 0x3e904c7b, 0xbe2ce959,
    0x3d4b21ef, 0xbd22f28a, 0x3e2f60ad, 0xbe6ee689,
    0xbe0ec4e5, 0x3e76ea3e, 0x3d42ad6a, 0xbd446ce9,
    0x3e41b65c, 0xbdd5a9d8, 0x3e4abf7b, 0xbd7b4d7f,
    0xbd253129, 0xbb01b69a, 0xbda6f386, 0xbbb3efeb,
    0x3dce6853, 0x3ddc08a0, 0xbddea0ed, 0xbe046757,
    0x3e02a976, 0x3e635e50, 0xbe913912, 0x3e9b86b9,
    0xbe4e24bb, 0xbdaca18a, 0xbe1de984, 0x3e9ee783,
    0xbde15bfb, 0x3b2b3c2c, 0xbe0c1bae, 0x3d10b48a,
    0x3da2fa49, 0x3c9bcfca, 0xbe66c0a2, 0x3e9976e1,
    0xbd9c2f04, 0x3e655642, 0x3cfb6d06, 0x3e03ac6a,
    0xbe24a802, 0x3e960888, 0x3d32690c, 0x3cb5ee32,
    0x3d54a920, 0x3e0a7a13, 0xbe13b64d, 0x3e17472b,
    0x3de4d4ae, 0xbc6ddd74, 0xbe928403, 0x3cf8183e,
    0x3dbb699c, 0x3c86dee6, 0x3db9c20f, 0x3e537749,
    0x3d29b6aa, 0xbec509a4, 0x3e80fdbe, 0x3afc923f,
    0xbd375ada, 0xbe4e9517, 0xbdb9bfc5, 0xbb664a3a,
    0x3cf52559, 0xbe86fc34, 0xbe495779, 0x394e2d5e,
    0xbe2ec2a1, 0x3ca806c0, 0xbb844e5f, 0x3d29c94f,
    0x3e7670f0, 0x3d528d2a, 0xbd7eea37, 0x3ddfe977,
    0xbdec9d99, 0xbc41ac1e, 0xbd9b7376, 0xbdbb8a63,
    0xbc2b72a0, 0x3da37d49, 0xbc9835eb, 0xbe9bda79,
    0x3be8eb04, 0xbe113ce3, 0x3e904c7b, 0xbe2ce959,
    0x3d4b21ef, 0xbd22f28a, 0x3e2f60ad, 0xbe6ee689,
    0xbe0ec4e5, 0x3e76ea3e, 0x3d42ad6a, 0xbd446ce9,
    0x3e41b65c, 0xbdd5a9d8, 0x3e4abf7b, 0xbd7b4d7f,
    0xbd253129, 0xbb01b69a, 0xbda6f386, 0xbbb3efeb,
    0x3dce6853, 0x3ddc08a0, 0xbddea0ed, 0xbe046757,
    0x3e02a976, 0x3e635e50, 0xbe913912, 0x3e9b86b9,
    0xbe4e24bb, 0xbdaca18a, 0xbe1de984, 0x3e9ee783,
    0xbde15bfb, 0x3b2b3c2c, 0xbe0c1bae, 0x3d30e5ac,
    0xbde435c8, 0xbb934536, 0x3df5809f, 0xbe7b2041,
    0xbd6f9011, 0xbe3e99bb, 0x3ddf38f4, 0x3e8b5eef,
    0xbd4a62cc, 0x3eabe4ae, 0xbd155031, 0xbd9a0f8a,
    0x3e568776, 0x3d6ed455, 0xbd9d552f, 0x3c9128d7,
    0x3d29cd67, 0xbd47cd3f, 0x3e0ea997, 0x3e776b2f,
    0x3ceab0c7, 0x3ced936f, 0x3b1d52a1, 0xbe00742f,
    0x3dd319e9, 0x3e07121b, 0x3ed05808, 0x3e93df62,
    0x3b4e23b6, 0x3c50e3b2, 0x3dc7bacf, 0x3dc93b0d
    };

static const uint32_t ref_trans[1024] = {
    0x3d90b48a, 0x3d90b48a, 0x3e22fa49, 0x3d90b48a,
    0x3e22fa49, 0x3d1bcfca, 0x3d90b48a, 0x3e22fa49,
    0x3d1bcfca, 0xbee6c0a2, 0x3d90b48a, 0x3e22fa49,
    0x3d1bcfca, 0x3d90b48a, 0x3e22fa49, 0x3d1bcfca,
    0xbee6c0a2, 0x3f1976e1, 0xbe1c2f04, 0x3ee55642,
    0x3d7b6d06, 0x3d90b48a, 0x3e22fa49, 0x3d1bcfca,
    0xbee6c0a2, 0x3f1976e1, 0xbe1c2f04, 0x3ee55642,
    0x3d7b6d06, 0x3e83ac6a, 0xbea4a802, 0x3f160888,
    0x3d90b48a, 0x3e22fa49, 0x3d90b48a, 0x3d1bcfca,
    0x3e22fa49, 0xbee6c0a2, 0x3d90b48a, 0xbee6c0a2,
    0x3e22fa49, 0x3f1976e1, 0x3d1bcfca, 0xbe1c2f04,
    0x3d90b48a, 0x3f1976e1, 0x3e22fa49, 0xbe1c2f04,
    0x3d1bcfca, 0x3ee55642, 0xbee6c0a2, 0x3d7b6d06,
    0x3d90b48a, 0xbee6c0a2, 0x3e22fa49, 0x3f1976e1,
    0x3d1bcfca, 0xbe1c2f04, 0x3d90b48a, 0x3e83ac6a,
    0x3e22fa49, 0xbea4a802, 0x3d1bcfca, 0x3f160888,
    0xbee6c0a2, 0x3db2690c, 0x3f1976e1, 0x3d35ee32,
    0xbe1c2f04, 0x3dd4a920, 0x3ee55642, 0x3e8a7a13,
    0x3d7b6d06, 0xbe93b64d, 0x3d90b48a, 0x3db2690c,
    0x3e22fa49, 0x3d35ee32, 0x3d1bcfca, 0x3dd4a920,
    0xbee6c0a2, 0x3e8a7a13, 0x3f1976e1, 0xbe93b64d,
    0xbe1c2f04, 0x3e97472b, 0x3ee55642, 0x3e64d4ae,
    0x3d7b6d06, 0xbceddd74, 0x3e83ac6a, 0xbf128403,
    0xbea4a802, 0x3d78183e, 0x3f160888, 0x3e3b699c,
    0x3d90b48a, 0x3e22fa49, 0x3d1bcfca, 0x3d90b48a,
    0x3d1bcfca, 0x3f1976e1, 0x3e22fa49, 0xbee6c0a2,
    0xbe1c2f04, 0x3d90b48a, 0xbee6c0a2, 0x3ee55642,
    0x3e22fa49, 0x3f1976e1, 0x3d7b6d06, 0x3d1bcfca,
    0xbe1c2f04, 0x3e83ac6a, 0x3d90b48a, 0x3f1976e1,
    0x3e83ac6a, 0x3e22fa49, 0xbe1c2f04, 0xbea4a802,
    0x3d1bcfca, 0x3ee55642, 0x3f160888, 0xbee6c0a2,
    0x3d7b6d06, 0x3db2690c, 0x3d90b48a, 0xbee6c0a2,
    0x3ee55642, 0x3e22fa49, 0x3f1976e1, 0x3d7b6d06,
    0x3d1bcfca, 0xbe1c2f04, 0x3e83ac6a, 0x3d90b48a,
    0x3e83ac6a, 0x3e97472b, 0x3e22fa49, 0xbea4a802,
    0x3e64d4ae, 0x3d1bcfca, 0x3f160888, 0xbceddd74,
    0xbee6c0a2, 0x3db2690c, 0xbf128403, 0x3f1976e1,
    0x3d35ee32, 0x3d78183e, 0xbe1c2f04, 0x3dd4a920,
    0x3e3b699c, 0x3ee55642, 0x3e8a7a13, 0x3d06dee6,
    0x3d7b6d06, 0xbe93b64d, 0x3e39c20f, 0x3d90b48a,
    0x3db2690c, 0x3d06dee6, 0x3e22fa49, 0x3d35ee32,
    0x3e39c20f, 0x3d1bcfca, 0x3dd4a920, 0x3ed37749,
    0xbee6c0a2, 0x3e8a7a13, 0x3da9b6aa, 0x3f1976e1,
    0xbe93b64d, 0xbf4509a4, 0xbe1c2f04, 0x3e97472b,
    0x3f00fdbe, 0x3ee55642, 0x3e64d4ae, 0x3b7c923f,
    0x3d7b6d06, 0xbceddd74, 0xbdb75ada, 0x3e83ac6a,
    0xbf128403, 0xbece9517, 0xbea4a802, 0x3d78183e,
    0xbe39bfc5, 0x3f160888, 0x3e3b699c, 0xbbe64a3a,
    0x3d90b48a, 0x3e22fa49, 0x3d1bcfca, 0xbee6c0a2,
    0x3d90b48a, 0x3d1bcfca, 0x3f1976e1, 0x3ee55642,
    0x3e22fa49, 0xbee6c0a2, 0xbe1c2f04, 0x3d7b6d06,
    0x3d90b48a, 0xbee6c0a2, 0x3ee55642, 0xbea4a802,
    0x3e22fa49, 0x3f1976e1, 0x3d7b6d06, 0x3f160888,
    0x3d1bcfca, 0xbe1c2f04, 0x3e83ac6a, 0x3db2690c,
    0x3d90b48a, 0x3f1976e1, 0x3e83ac6a, 0x3d35ee32,
    0x3e22fa49, 0xbe1c2f04, 0xbea4a802, 0x3dd4a920,
    0x3d1bcfca, 0x3ee55642, 0x3f160888, 0x3e8a7a13,
    0xbee6c0a2, 0x3d7b6d06, 0x3db2690c, 0xbe93b64d,
    0x3d90b48a, 0xbee6c0a2, 0x3ee55642, 0xbea4a802,
    0x3e22fa49, 0x3f1976e1, 0x3d7b6d06, 0x3f160888,
    0x3d1bcfca, 0xbe1c2f04, 0x3e83ac6a, 0x3db2690c,
    0x3d90b48a, 0x3e83ac6a, 0x3e97472b, 0x3ed37749,
    0x3e22fa49, 0xbea4a802, 0x3e64d4ae, 0x3da9b6aa,
    0x3d1bcfca, 0x3f160888, 0xbceddd74, 0xbf4509a4,
    0xbee6c0a2, 0x3db2690c, 0xbf128403, 0x3f00fdbe,
    0x3f1976e1, 0x3d35ee32, 0x3d78183e, 0x3b7c923f,
    0xbe1c2f04, 0x3dd4a920, 0x3e3b699c, 0xbdb75ada,
    0x3ee55642, 0x3e8a7a13, 0x3d06dee6, 0xbece9517,
    0x3d7b6d06, 0xbe93b64d, 0x3e39c20f, 0xbe39bfc5,
    0x3d90b48a, 0x3db2690c, 0x3d06dee6, 0x3d752559,
    0x3e22fa49, 0x3d35ee32, 0x3e39c20f, 0xbf06fc34,
    0x3d1bcfca, 0x3dd4a920, 0x3ed37749, 0xbec95779,
    0xbee6c0a2, 0x3e8a7a13, 0x3da9b6aa, 0x39ce2d5e,
    0x3f1976e1, 0xbe93b64d, 0xbf4509a4, 0xbeaec2a1,
    0xbe1c2f04, 0x3e97472b, 0x3f00fdbe, 0x3d2806c0,
    0x3ee55642, 0x3e64d4ae, 0x3b7c923f, 0xbc044e5f,
    0x3d7b6d06, 0xbceddd74, 0xbdb75ada, 0x3da9c94f,
    0x3e83ac6a, 0xbf128403, 0xbece9517, 0x3ef670f0,
    0xbea4a802, 0x3d78183e, 0xbe39bfc5, 0x3dd28d2a,
    0x3f160888, 0x3e3b699c, 0xbbe64a3a, 0xbdfeea37,
    0x3d90b48a, 0x3e22fa49, 0x3d1bcfca, 0x3d90b48a,
    0x3d1bcfca, 0x3f1976e1, 0x3e22fa49, 0xbee6c0a2,
    0xbe1c2f04, 0x3d90b48a, 0xbee6c0a2, 0x3ee55642,
    0x3e22fa49, 0x3f1976e1, 0x3d7b6d06, 0x3d1bcfca,
    0xbe1c2f04, 0x3e83ac6a, 0x3d90b48a, 0x3f1976e1,
    0x3e83ac6a, 0x3e22fa49, 0xbe1c2f04, 0xbea4a802,
    0x3d1bcfca, 0x3ee55642, 0x3f160888, 0xbee6c0a2,
    0x3d7b6d06, 0x3db2690c, 0x3d90b48a, 0xbee6c0a2,
    0x3ee55642, 0x3e22fa49, 0x3f1976e1, 0x3d7b6d06,
    0x3d1bcfca, 0xbe1c2f04, 0x3e83ac6a, 0x3d90b48a,
    0x3e83ac6a, 0x3e97472b, 0x3e22fa49, 0xbea4a802,
    0x3e64d4ae, 0x3d1bcfca, 0x3f160888, 0xbceddd74,
    0xbee6c0a2, 0x3db2690c, 0xbf128403, 0x3f1976e1,
    0x3d35ee32, 0x3d78183e, 0xbe1c2f04, 0x3dd4a920,
    0x3e3b699c, 0x3ee55642, 0x3e8a7a13, 0x3d06dee6,
    0x3d7b6d06, 0xbe93b64d, 0x3e39c20f, 0x3d90b48a,
    0x3db2690c, 0x3d06dee6, 0x3e22fa49, 0x3d35ee32,
    0x3e39c20f, 0x3d1bcfca, 0x3dd4a920, 0x3ed37749,
    0xbee6c0a2, 0x3e8a7a13, 0x3da9b6aa, 0x3f1976e1,
    0xbe93b64d, 0xbf4509a4, 0xbe1c2f04, 0x3e97472b,
    0x3f00fdbe, 0x3ee55642, 0x3e64d4ae, 0x3b7c923f,
    0x3d7b6d06, 0xbceddd74, 0xbdb75ada, 0x3e83ac6a,
    0xbf128403, 0xbece9517, 0xbea4a802, 0x3d78183e,
    0xbe39bfc5, 0x3f160888, 0x3e3b699c, 0xbbe64a3a,
    0x3d90b48a, 0x3e22fa49, 0x3d1bcfca, 0xbee6c0a2,
    0x3f1976e1, 0xbe1c2f04, 0x3ee55642, 0x3d7b6d06,
    0x3d90b48a, 0x3d1bcfca, 0x3f1976e1, 0x3ee55642,
    0x3e83ac6a, 0x3f160888, 0x3d35ee32, 0x3e8a7a13,
    0x3e22fa49, 0xbee6c0a2, 0xbe1c2f04, 0x3d7b6d06,
    0xbea4a802, 0x3db2690c, 0x3dd4a920, 0xbe93b64d,
    0x3d90b48a, 0xbee6c0a2, 0x3ee55642, 0xbea4a802,
    0x3d35ee32, 0xbe93b64d, 0xbceddd74, 0x3e3b699c,
    0x3e22fa49, 0x3f1976e1, 0x3d7b6d06, 0x3f160888,
    0x3dd4a920, 0x3e97472b, 0xbf128403, 0x3d06dee6,
    0x3d1bcfca, 0xbe1c2f04, 0x3e83ac6a, 0x3db2690c,
    0x3e8a7a13, 0x3e64d4ae, 0x3d78183e, 0x3e39c20f,
    0x3d90b48a, 0x3f1976e1, 0x3e83ac6a, 0x3d35ee32,
    0x3e97472b, 0x3d78183e, 0x3ed37749, 0x3b7c923f,
    0x3e22fa49, 0xbe1c2f04, 0xbea4a802, 0x3dd4a920,
    0x3e64d4ae, 0x3e3b699c, 0x3da9b6aa, 0xbdb75ada,
    0x3d1bcfca, 0x3ee55642, 0x3f160888, 0x3e8a7a13,
    0xbceddd74, 0x3d06dee6, 0xbf4509a4, 0xbece9517,
    0xbee6c0a2, 0x3d7b6d06, 0x3db2690c, 0xbe93b64d,
    0xbf128403, 0x3e39c20f, 0x3f00fdbe, 0xbe39bfc5,
    0x3d90b48a, 0xbee6c0a2, 0x3ee55642, 0xbea4a802,
    0x3d35ee32, 0xbe93b64d, 0xbceddd74, 0x3e3b699c,
    0x3e22fa49, 0x3f1976e1, 0x3d7b6d06, 0x3f160888,
    0x3dd4a920, 0x3e97472b, 0xbf128403, 0x3d06dee6,
    0x3d1bcfca, 0xbe1c2f04, 0x3e83ac6a, 0x3db2690c,
    0x3e8a7a13, 0x3e64d4ae, 0x3d78183e, 0x3e39c20f,
    0x3d90b48a, 0x3e83ac6a, 0x3e97472b, 0x3ed37749,
    0xbbe64a3a, 0x3da9c94f, 0xbe3b8a63, 0xbeace959,
    0x3e22fa49, 0xbea4a802, 0x3e64d4ae, 0x3da9b6aa,
    0x3d752559, 0x3ef670f0, 0xbcab72a0, 0x3dcb21ef,
    0x3d1bcfca, 0x3f160888, 0xbceddd74, 0xbf4509a4,
    0xbf06fc34, 0x3dd28d2a, 0x3e237d49, 0xbda2f28a,
    0xbee6c0a2, 0x3db2690c, 0xbf128403, 0x3f00fdbe,
    0xbec95779, 0xbdfeea37, 0xbd1835eb, 0x3eaf60ad,
    0x3f1976e1, 0x3d35ee32, 0x3d78183e, 0x3b7c923f,
    0x39ce2d5e, 0x3e5fe977, 0xbf1bda79, 0xbeeee689,
    0xbe1c2f04, 0x3dd4a920, 0x3e3b699c, 0xbdb75ada,
    0xbeaec2a1, 0xbe6c9d99, 0x3c68eb04, 0xbe8ec4e5,
    0x3ee55642, 0x3e8a7a13, 0x3d06dee6, 0xbece9517,
    0x3d2806c0, 0xbcc1ac1e, 0xbe913ce3, 0x3ef6ea3e,
    0x3d7b6d06, 0xbe93b64d, 0x3e39c20f, 0xbe39bfc5,
    0xbc044e5f, 0xbe1b7376, 0x3f104c7b, 0x3dc2ad6a,
    0x3d90b48a, 0x3db2690c, 0x3d06dee6, 0x3d752559,
    0x3e5fe977, 0x3f104c7b, 0xbe55a9d8, 0x3e82a976,
    0x3e22fa49, 0x3d35ee32, 0x3e39c20f, 0xbf06fc34,
    0xbe6c9d99, 0xbeace959, 0x3ecabf7b, 0x3ee35e50,
    0x3d1bcfca, 0x3dd4a920, 0x3ed37749, 0xbec95779,
    0xbcc1ac1e, 0x3dcb21ef, 0xbdfb4d7f, 0xbf113912,
    0xbee6c0a2, 0x3e8a7a13, 0x3da9b6aa, 0x39ce2d5e,
    0xbe1b7376, 0xbda2f28a, 0xbda53129, 0x3f1b86b9,
    0x3f1976e1, 0xbe93b64d, 0xbf4509a4, 0xbeaec2a1,
    0xbe3b8a63, 0x3eaf60ad, 0xbb81b69a, 0xbece24bb,
    0xbe1c2f04, 0x3e97472b, 0x3f00fdbe, 0x3d2806c0,
    0xbcab72a0, 0xbeeee689, 0xbe26f386, 0xbe2ca18a,
    0x3ee55642, 0x3e64d4ae, 0x3b7c923f, 0xbc044e5f,
    0x3e237d49, 0xbe8ec4e5, 0xbc33efeb, 0xbe9de984,
    0x3d7b6d06, 0xbceddd74, 0xbdb75ada, 0x3da9c94f,
    0xbd1835eb, 0x3ef6ea3e, 0x3e4e6853, 0x3f1ee783,
    0x3e83ac6a, 0xbf128403, 0xbece9517, 0x3ef670f0,
    0xbf1bda79, 0x3dc2ad6a, 0x3e5c08a0, 0xbe615bfb,
    0xbea4a802, 0x3d78183e, 0xbe39bfc5, 0x3dd28d2a,
    0x3c68eb04, 0xbdc46ce9, 0xbe5ea0ed, 0x3bab3c2c,
    0x3f160888, 0x3e3b699c, 0xbbe64a3a, 0xbdfeea37,
    0xbe913ce3, 0x3ec1b65c, 0xbe846757, 0xbe8c1bae,
    0x3d90b48a, 0x3e22fa49, 0x3d1bcfca, 0xbee6c0a2,
    0x3f1976e1, 0xbe1c2f04, 0x3ee55642, 0x3d7b6d06,
    0x3e83ac6a, 0xbea4a802, 0x3f160888, 0x3d90b48a,
    0x3d1bcfca, 0x3f1976e1, 0x3ee55642, 0x3e83ac6a,
    0x3f160888, 0x3d35ee32, 0x3e8a7a13, 0x3e97472b,
    0xbceddd74, 0x3d78183e, 0x3e22fa49, 0xbee6c0a2,
    0xbe1c2f04, 0x3d7b6d06, 0xbea4a802, 0x3db2690c,
    0x3dd4a920, 0xbe93b64d, 0x3e64d4ae, 0xbf128403,
    0x3e3b699c, 0x3d90b48a, 0xbee6c0a2, 0x3ee55642,
    0xbea4a802, 0x3d35ee32, 0xbe93b64d, 0xbceddd74,
    0x3e3b699c, 0x3ed37749, 0x3f00fdbe, 0xbece9517,
    0x3e22fa49, 0x3f1976e1, 0x3d7b6d06, 0x3f160888,
    0x3dd4a920, 0x3e97472b, 0xbf128403, 0x3d06dee6,
    0x3da9b6aa, 0x3b7c923f, 0xbe39bfc5, 0x3d1bcfca,
    0xbe1c2f04, 0x3e83ac6a, 0x3db2690c, 0x3e8a7a13,
    0x3e64d4ae, 0x3d78183e, 0x3e39c20f, 0xbf4509a4,
    0xbdb75ada, 0xbbe64a3a, 0x3d90b48a, 0x3f1976e1,
    0x3e83ac6a, 0x3d35ee32, 0x3e97472b, 0x3d78183e,
    0x3ed37749, 0x3b7c923f, 0xbbe64a3a, 0x39ce2d5e,
    0x3da9c94f, 0x3e22fa49, 0xbe1c2f04, 0xbea4a802,
    0x3dd4a920, 0x3e64d4ae, 0x3e3b699c, 0x3da9b6aa,
    0xbdb75ada, 0x3d752559, 0xbeaec2a1, 0x3ef670f0,
    0x3d1bcfca, 0x3ee55642, 0x3f160888, 0x3e8a7a13,
    0xbceddd74, 0x3d06dee6, 0xbf4509a4, 0xbece9517,
    0xbf06fc34, 0x3d2806c0, 0x3dd28d2a, 0xbee6c0a2,
    0x3d7b6d06, 0x3db2690c, 0xbe93b64d, 0xbf128403,
    0x3e39c20f, 0x3f00fdbe, 0xbe39bfc5, 0xbec95779,
    0xbc044e5f, 0xbdfeea37, 0x3d90b48a, 0xbee6c0a2,
    0x3ee55642, 0xbea4a802, 0x3d35ee32, 0xbe93b64d,
    0xbceddd74, 0x3e3b699c, 0x3ed37749, 0x3f00fdbe,
    0xbece9517, 0x3e22fa49, 0x3f1976e1, 0x3d7b6d06,
    0x3f160888, 0x3dd4a920, 0x3e97472b, 0xbf128403,
    0x3d06dee6, 0x3da9b6aa, 0x3b7c923f, 0xbe39bfc5,
    0x3d1bcfca, 0xbe1c2f04, 0x3e83ac6a, 0x3db2690c,
    0x3e8a7a13, 0x3e64d4ae, 0x3d78183e, 0x3e39c20f,
    0xbf4509a4, 0xbdb75ada, 0xbbe64a3a, 0x3d90b48a,
    0x3e83ac6a, 0x3e97472b, 0x3ed37749, 0xbbe64a3a,
    0x3da9c94f, 0xbe3b8a63, 0xbeace959, 0xbdc46ce9,
    0xbc33efeb, 0x3f1b86b9, 0x3e22fa49, 0xbea4a802,
    0x3e64d4ae, 0x3da9b6aa, 0x3d752559, 0x3ef670f0,
    0xbcab72a0, 0x3dcb21ef, 0x3ec1b65c, 0x3e4e6853,
    0xbece24bb, 0x3d1bcfca, 0x3f160888, 0xbceddd74,
    0xbf4509a4, 0xbf06fc34, 0x3dd28d2a, 0x3e237d49,
    0xbda2f28a, 0xbe55a9d8, 0x3e5c08a0, 0xbe2ca18a,
    0xbee6c0a2, 0x3db2690c, 0xbf128403, 0x3f00fdbe,
    0xbec95779, 0xbdfeea37, 0xbd1835eb, 0x3eaf60ad,
    0x3ecabf7b, 0xbe5ea0ed, 0xbe9de984, 0x3f1976e1,
    0x3d35ee32, 0x3d78183e, 0x3b7c923f, 0x39ce2d5e,
    0x3e5fe977, 0xbf1bda79, 0xbeeee689, 0xbdfb4d7f,
    0xbe846757, 0x3f1ee783, 0xbe1c2f04, 0x3dd4a920,
    0x3e3b699c, 0xbdb75ada, 0xbeaec2a1, 0xbe6c9d99,
    0x3c68eb04, 0xbe8ec4e5, 0xbda53129, 0x3e82a976,
    0xbe615bfb, 0x3ee55642, 0x3e8a7a13, 0x3d06dee6,
    0xbece9517, 0x3d2806c0, 0xbcc1ac1e, 0xbe913ce3,
    0x3ef6ea3e, 0xbb81b69a, 0x3ee35e50, 0x3bab3c2c,
    0x3d7b6d06, 0xbe93b64d, 0x3e39c20f, 0xbe39bfc5,
    0xbc044e5f, 0xbe1b7376, 0x3f104c7b, 0x3dc2ad6a,
    0xbe26f386, 0xbf113912, 0xbe8c1bae, 0x3d90b48a,
    0x3db2690c, 0x3d06dee6, 0x3d752559, 0x3e5fe977,
    0x3f104c7b, 0xbe55a9d8, 0x3e82a976, 0x3db0e5ac,
    0xbd955031, 0x3d6d936f, 0x3e22fa49, 0x3d35ee32,
    0x3e39c20f, 0xbf06fc34, 0xbe6c9d99, 0xbeace959,
    0x3ecabf7b, 0x3ee35e50, 0xbe6435c8, 0xbe1a0f8a,
    0x3b9d52a1, 0x3d1bcfca, 0x3dd4a920, 0x3ed37749,
    0xbec95779, 0xbcc1ac1e, 0x3dcb21ef, 0xbdfb4d7f,
    0xbf113912, 0xbc134536, 0x3ed68776, 0xbe80742f,
    0xbee6c0a2, 0x3e8a7a13, 0x3da9b6aa, 0x39ce2d5e,
    0xbe1b7376, 0xbda2f28a, 0xbda53129, 0x3f1b86b9,
    0x3e75809f, 0x3deed455, 0x3e5319e9, 0x3f1976e1,
    0xbe93b64d, 0xbf4509a4, 0xbeaec2a1, 0xbe3b8a63,
    0x3eaf60ad, 0xbb81b69a, 0xbece24bb, 0xbefb2041,
    0xbe1d552f, 0x3e87121b, 0xbe1c2f04, 0x3e97472b,
    0x3f00fdbe, 0x3d2806c0, 0xbcab72a0, 0xbeeee689,
    0xbe26f386, 0xbe2ca18a, 0xbdef9011, 0x3d1128d7,
    0x3f505808, 0x3ee55642, 0x3e64d4ae, 0x3b7c923f,
    0xbc044e5f, 0x3e237d49, 0xbe8ec4e5, 0xbc33efeb,
    0xbe9de984, 0xbebe99bb, 0x3da9cd67, 0x3f13df62,
    0x3d7b6d06, 0xbceddd74, 0xbdb75ada, 0x3da9c94f,
    0xbd1835eb, 0x3ef6ea3e, 0x3e4e6853, 0x3f1ee783,
    0x3e5f38f4, 0xbdc7cd3f, 0x3bce23b6, 0x3e83ac6a,
    0xbf128403, 0xbece9517, 0x3ef670f0, 0xbf1bda79,
    0x3dc2ad6a, 0x3e5c08a0, 0xbe615bfb, 0x3f0b5eef,
    0x3e8ea997, 0x3cd0e3b2, 0xbea4a802, 0x3d78183e,
    0xbe39bfc5, 0x3dd28d2a, 0x3c68eb04, 0xbdc46ce9,
    0xbe5ea0ed, 0x3bab3c2c, 0xbdca62cc, 0x3ef76b2f,
    0x3e47bacf, 0x3f160888, 0x3e3b699c, 0xbbe64a3a,
    0xbdfeea37, 0xbe913ce3, 0x3ec1b65c, 0xbe846757,
    0xbe8c1bae, 0x3f2be4ae, 0x3d6ab0c7, 0x3e493b0d
    };

static const uint32_t ref_inv[3111] = {
    0x40000000, 0x3f3504f3, 0xbf3504f3, 0x3f3504f3,
    0x3f3504f3, 0x3f4e0352, 0x3f01814a, 0xbe9f093a,
    0xbe9f093a, 0x3f4e0352, 0x3f01814a, 0x3f01814a,
    0xbe9f093a, 0x3f4e0352, 0x3fb4e00e, 0xc0053535,
    0x3f57bc42, 0x3cddcf41, 0xc0a3a5f6, 0x3f732671,
    0x406dc9e3, 0x40370551, 0x3f547c13, 0x40203916,
    0xbfb06e66, 0xbfeff734, 0x3ff15c95, 0xbc8a8bec,
    0xc0024ad6, 0x3df88d64, 0x3fa71f0a, 0xc024b4eb,
    0xc05f3ba9, 0xbf83216a, 0x404771e8, 0x4056e407,
    0x40356297, 0xbe4498f6, 0xbf4b5e27, 0x400549d0,
    0xbe6fcb43, 0xbf8400c9, 0xbf9e549e, 0x3fa8b724,
    0xbef7291f, 0x40072f7e, 0x40607b10, 0x3fbc1218,
    0xc06e19c8, 0xc02c7dd9, 0xc0594240, 0x3f1ce0f6,
    0xbfbf9132, 0xc06d1721, 0xbfe9a787, 0x405326f3,
    0x40829b17, 0x3ff50fb6, 0x3f47a280, 0x3fa91ebb,
    0xbe0907fe, 0xbf378a5b, 0xbe7dffb8, 0xbfb0f633,
    0xbdb24389, 0xbfacad61, 0xbeb01e26, 0x3ff58016,
    0x3fe462dd, 0xbe3063b1, 0xbec6efd4, 0xbfd717f9,
    0x3d7ba261, 0x3f41473b, 0xbfaf1372, 0x3cb5ee56,
    0x3f19d7aa, 0xbeb5f04f, 0x3fc56188, 0x3f806427,
    0xc086c5a5, 0x3fa65d3f, 0x3fab47a9, 0xbf5f049a,
    0x3fc3b00c, 0x3f26979d, 0xbe87399e, 0x3febcae2,
    0xc0ab7d84, 0x401f9894, 0x40197fcc, 0xbfc2c95d,
    0x3fe632b4, 0xbf0beb47, 0xbf71c501, 0x3ec24fb5,
    0xbf70d0a1, 0x3ef475ec, 0x3e1d2735, 0x3f29eedc,
    0xbe3c8e43, 0xbeea9a81, 0xbd9846d3, 0xbd6162b7,
    0x406eb046, 0xc00c8df9, 0xbf526bd6, 0x3ddf191e,
    0xbf7e1605, 0x3e0e0ecf, 0x3f23e196, 0xbf6e4977,
    0xc0771057, 0x40440402, 0x3f85a1d0, 0xbf74272e,
    0x3f6fd0f5, 0xbe9e90e6, 0x3f89a477, 0x3e8e25ad,
    0xc01e72a1, 0x3febfccf, 0xbf273bf6, 0xbf8e37da,
    0x4007a35a, 0xbebc74ad, 0x3ea3a593, 0x3eb25d83,
    0x3e8eea86, 0x3f042e1b, 0xbfb1f458, 0xbd2dc65d,
    0xbe85ec0f, 0x3f240d8c, 0xbf12dccf, 0xbffaed7c,
    0x4114a50e, 0xc0a1f9ce, 0xbfc59520, 0x4036a0a6,
    0xc04239c8, 0x3eac85e3, 0x3e64be65, 0x3f3b0f94,
    0x3fc65caa, 0xbf8b38ce, 0xbf9a24ad, 0x3f335170,
    0x3f4e473e, 0x3eaf7bc7, 0xc0086d60, 0x3ef6fc79,
    0xbf3d4b54, 0xbef376d0, 0x3f29293f, 0xbf2a5ccb,
    0x3f57ef6d, 0x3cb437cf, 0x3e54345f, 0x3dcbec1c,
    0x3ebf7bd5, 0x3fc699e8, 0xbee1632f, 0x3f36baad,
    0x3f85a102, 0xbfe4c8dd, 0xbfa8d90e, 0xbef4f590,
    0x3f535ce5, 0x3cd34d37, 0xc03dd8fc, 0xc0238a73,
    0xbe706b58, 0xbfe2c01c, 0x4091de83, 0x405c3eac,
    0x3f3f4db5, 0xbfb58767, 0x3f96dbb2, 0xbff8df9f,
    0xc00577c2, 0x3d495a14, 0xbf34829a, 0x40171170,
    0x3fb86088, 0x3fbdccbf, 0xbefb8cbf, 0x3f14440b,
    0x3fdc4b70, 0xbeefa339, 0x3f9638c0, 0x3fe98053,
    0xc00cc38e, 0xc00fb8ee, 0xbf1c4c76, 0x403cf71f,
    0xbff33cd7, 0x3f43ffe6, 0x3fad3b27, 0xbf06010d,
    0x3fe9b6b1, 0xbfcd537b, 0xc01510c8, 0xbf38f46a,
    0x3faf377c, 0xbf3fa19c, 0x3eacdf61, 0x3f9a73c3,
    0xbfdbefdb, 0xbfb3850d, 0x3e8e3df9, 0x3fae0452,
    0x3d947b6b, 0xbfb73d9a, 0x3fb07941, 0x3ea52b28,
    0x3f9943b6, 0x3f4b827a, 0x3f80af53, 0xbff9107e,
    0xbf2665e1, 0xbe48474a, 0x3e3c00f8, 0xbf3457a1,
    0x3f2cd252, 0x40264169, 0xc01d84f2, 0xbb848125,
    0x3eba7bc8, 0x3ea33596, 0x3f7d6e09, 0x3e2c5a1d,
    0xc0266f6e, 0x3f165ca6, 0xc001af22, 0x3eabdc90,
    0xbed67f76, 0x3f2350ef, 0x4028f1e7, 0x3f23d327,
    0x3ff93f7a, 0xbdcbbf15, 0xbe86bc38, 0xbe7b5aa6,
    0xbe918458, 0xbed79582, 0xbe2354a3, 0xbfa0e82e,
    0xbf38c7f0, 0x3e7594d1, 0x3ef50ba7, 0xbe101ace,
    0x3e98345d, 0x3f7b83ca, 0x3f133dea, 0x40b4a00e,
    0xc048415d, 0xbfd19389, 0x3ee48e96, 0xbf3648bd,
    0x3f830975, 0x3f487c73, 0xc0b786e1, 0xbc8db932,
    0xc06b338e, 0x3f4f6e9d, 0x3f34fd30, 0x40042362,
    0x40be9819, 0x3bda674c, 0x3fcc85a1, 0xbfb3e9a2,
    0xbeaaca12, 0xbf1d2911, 0xbf74f46d, 0x3f4a3417,
    0x3faf18bc, 0xbfbc7448, 0x3f1e904f, 0xc033d729,
    0x3e85725b, 0x3e7d38cb, 0x3f7081bc, 0x3feab56b,
    0x3f6818ca, 0x408644a9, 0xc0742ac7, 0xbfa31c4a,
    0x3eaa1213, 0x3e70872f, 0x3fbee1cd, 0x3f96b94e,
    0xc0984721, 0x3e271581, 0xc03e4dcf, 0x3f1688ef,
    0xbe151a13, 0x3f9c1ead, 0x40b26826, 0x3ddcb075,
    0xc0c73825, 0x4067cbed, 0x3f0fbda2, 0xbdb2aff8,
    0x3f215acf, 0xbfdc4c33, 0xbf456a38, 0x40c22b11,
    0x3f2968cc, 0x408b2b73, 0xbf4c70be, 0xbf19c1ef,
    0xc037eb4f, 0xc0c8a4ca, 0xbeb401ad, 0xc02a46e9,
    0x3fb50f9a, 0x3eadc581, 0xbe0b79e1, 0x3f37e47c,
    0xbf9c09f8, 0xbf2fab13, 0x4045396f, 0x3f0171d6,
    0x40049d86, 0xbe2673d8, 0x3e04a9e8, 0xbfa52d62,
    0xc03f2e4b, 0xbe9843ba, 0xc0045fa2, 0x3f2a2271,
    0xbf517e62, 0x3f62aa2e, 0x3f51e7c2, 0xbf3898b4,
    0xbebc6595, 0x400ae3fe, 0x3f14c160, 0x3f746217,
    0x3d3a27c7, 0xbe39a50d, 0xbfe4678a, 0xbf13130f,
    0xbf2e74f2, 0x3eb6ff81, 0x3fca8efb, 0x3f3854b6,
    0xbe6d2c6b, 0xbe9d406a, 0x3e4371c7, 0x3d2bdfe5,
    0xbefe5a0e, 0xbf8c0524, 0x3f82415e, 0xbf4ec6c2,
    0xbe6a04a7, 0x3f7c4df9, 0xbf3882f9, 0x3f74419b,
    0x3f51490d, 0xbfc60544, 0xbf4b6467, 0x3eb0f8a7,
    0x3f228128, 0x3ece849d, 0x3f13de40, 0xbfa9654b,
    0x3be2b187, 0xbfcf2d60, 0x3ebb44d1, 0x3f06a7d2,
    0xbeac4535, 0x3fcd1827, 0xbf8aae86, 0xbfccc443,
    0x4000bafd, 0x3f9c856f, 0xbf533767, 0xbe35b7af,
    0xbcae7fc5, 0xbf6f9ed7, 0x3fe7f8f1, 0xbecdf7a7,
    0x3f9839d9, 0x3daef4d8, 0xbe4e3f2c, 0x3f5a5669,
    0xc024f1bb, 0xbf145654, 0x3fc24a40, 0xbf035891,
    0x3f79997e, 0xbe76b520, 0xbf23fe6c, 0x3f00041e,
    0x3cf84e6d, 0xbfb77f10, 0xbf12a88c, 0xbf25718b,
    0x3f530718, 0x3e870a19, 0x3faaa531, 0x3dd961eb,
    0x3f170e11, 0xbfd09910, 0x3e41b8ea, 0x3e40b217,
    0xbd853417, 0x3c87c413, 0xbe9083dd, 0x3f1d7047,
    0x3f623b92, 0x3eeb9eae, 0x3ea27b19, 0xbf3ad886,
    0x3ea638cf, 0xbf8f90a2, 0xbebba1bf, 0xbe044f6d,
    0x3f3e2424, 0xbf15ddfb, 0x3f408c93, 0x3e76c974,
    0xbf04551b, 0x3e370516, 0x3e924cab, 0xbf19f926,
    0xbe959dc2, 0xbf275166, 0xbf07e5f1, 0xbe60cde7,
    0x3f9271d7, 0x3f2c31bd, 0xbfcf1dcc, 0xc01a6711,
    0x406d2169, 0x3f77e63f, 0xbea0d57e, 0xbf1f0d85,
    0xbeab47ec, 0xbfcfd840, 0x4053e902, 0xbfa96f9c,
    0x405dc89d, 0xbf0b60f6, 0x3e50d79d, 0xbd8f9840,
    0xc0852a68, 0x3f800000, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x3f800000, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x3f800000,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x3f800000, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x3f800000, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x3f800000, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x3f800000,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x3f800000, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x3f800000, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x3f800000, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x3f800000,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x3f800000, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x3f800000, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x3f800000, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x3f800000,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x0, 0x0, 0x0, 0x0,
    0x3f800000, 0xbf1a7a2b, 0x3dec2954, 0xbec36915,
    0x3d826be1, 0x3f31efe1, 0x3e91c159, 0x3e9c4d91,
    0x3f71cafc, 0xbedec145, 0xbe911358, 0x3dc86f98,
    0x3e5eeeda, 0xbc908aad, 0xbe468dcb, 0xbedfa73e,
    0xbe1eee9f, 0xbefaece0, 0x3ef48882, 0xbeb53cbd,
    0x3e76b5ce, 0x3e8102a2, 0xbfd17158, 0x3cb959bf,
    0x3f3f3482, 0x3e3d2c10, 0x3edd2dac, 0xbe82f006,
    0xbf6dae37, 0x3ec0ad18, 0x3ec1dc5a, 0x3dd74142,
    0x3f10cb84, 0x3e0b5580, 0xbf2a1d53, 0xbe2246cb,
    0xbf36df66, 0xbee93dac, 0x3e839655, 0x3e80e69f,
    0x3f6e714a, 0xbe2ce8fc, 0x3f2876c3, 0x3f542960,
    0xbf654cca, 0xbe6627de, 0x3fabf803, 0x3eeaa3cd,
    0x3d1976d7, 0x3d8b57aa, 0xbdee0401, 0xc00b0847,
    0x3e393b1d, 0x3cc9b52b, 0x3eaa5c48, 0xbda1c632,
    0xbe832b35, 0xbe4a6399, 0x3e198c0e, 0xbe4d54b0,
    0xbe9deef7, 0x3f5822a1, 0x3e91ad40, 0xbf449113,
    0xbecebc53, 0xbeea040b, 0x3ecea8e4, 0xbda8ef0d,
    0x3f456e30, 0xbed6e3a3, 0xbee3b2c5, 0x3e13950e,
    0xbed28013, 0x3f58d048, 0x3f5296dd, 0xbe66e82e,
    0x3f14e7a7, 0x3e07eae0, 0xbeb64497, 0xbdec639b,
    0x3f0f0392, 0xbf0100db, 0x3edc6504, 0xbe6461c3,
    0x3decf550, 0xbf882c4f, 0xbf3c96eb, 0xbf030f55,
    0xbf7c9b15, 0xbdf8bf55, 0x3ea13829, 0x3f4c69e4,
    0x3e7256cc, 0x3f61e7f7, 0xbe84217e, 0xbe8042a9,
    0x3e28ac9b, 0x3e793513, 0x3f313b4a, 0xbe327f61,
    0xbe992aa0, 0x3d56a840, 0xbe6c4faf, 0x3fa90e2e,
    0x3e92ffa6, 0x3f5218c8, 0x3f43b31d, 0xbfd484e2,
    0xbf9456b0, 0x3e175d26, 0xbf8b0225, 0xbf14bc58,
    0x3d85c90b, 0xbf04126a, 0xbe83ace2, 0xbee3cab9,
    0x3edc9d8f, 0x3f83b54b, 0x3f0c6285, 0x3f38b44a,
    0xbebc7f89, 0xbedb06b2, 0xbf820ba9, 0xbf834984,
    0x3fa6ba19, 0x3f14f306, 0x3e5a61a2, 0x3f680314,
    0x3e109119, 0x3e962080, 0x3fb9ecfe, 0xbf699a5f,
    0x3de5f178, 0xbf7a114a, 0xbfb1941f, 0x3ef6f71e,
    0x3f3982ed, 0xbd3dc5f3, 0x3f2f7390, 0x3dceffaf,
    0x3e331348, 0x3e6fbe3d, 0xbed0b1c3, 0xbc8870e2,
    0xbf4a8c21, 0xbd92b3bd, 0x3eaf8a14, 0xbd9bf4f5,
    0xbe88a029, 0x3e0a15d1, 0x3e694aa0, 0x3d2dbb6c,
    0x3d74221b, 0x3da224c7, 0xbec2ac5c, 0x3c927a7b,
    0xbe2004c4, 0xbe24a87e, 0x3e270756, 0x3f048d62,
    0xbcf2d45a, 0x3e0dde41, 0x3ec1b138, 0xbf0842a1,
    0x3ea09d70, 0xbd032593, 0xbbfc3c93, 0xbf305159,
    0xbb3c9eb0, 0x3ef69413, 0x3c2bb592, 0x3ecbad16,
    0x3c1e58ae, 0x3e5bdbec, 0xbd85f51a, 0xbe83e2ef,
    0xbf4ddd33, 0xbf0a0060, 0xbeb014c0, 0x3ee40039,
    0x3f6228df, 0xbe59a5c8, 0x3da0cf6f, 0x3e535523,
    0xbcca90a6, 0xbdee1f84, 0xbe140e69, 0x3f45f26f,
    0xbeb0f8e2, 0xbec5b7bc, 0xbed4d159, 0xbf81cbf3,
    0x3f0c02dd, 0xbd87dc9b, 0x3f424151, 0x3ed9659c,
    0x3e633841, 0x3e0aa2b2, 0x3ec2e8a7, 0xbe75b325,
    0xbe6b0e2d, 0xbf05d74a, 0xbe31b8a9, 0x3e64fa15,
    0x3f2b6c4e, 0xbef4ad06, 0xbebb1a07, 0x3dc18532,
    0xbe249e5e, 0x3f4596a1, 0x3ec5c766, 0xbddc1718,
    0xbe019651, 0x3e33041e, 0xbf05d752, 0x3ef9a2e6,
    0x3deb9b37, 0x3f46b71c, 0xbed209e2, 0xbf468466,
    0x3ea61e1b, 0x3e538c55, 0x3f0a35ff, 0x3ec04f7f,
    0x3eb1a321, 0x3fb090a8, 0xbf9b4217, 0xbeb76e99,
    0x3e25bf07, 0xbf4b1698, 0xbf2d24a7, 0xbe486fd6,
    0xbf934412, 0x3d3c80dc, 0xbed0e325, 0x3f8f8673,
    0x3f642dc4, 0xbef05bbf, 0x3e5ddf4e, 0xbe46d534,
    0x3eb3c12b, 0xbef9948b, 0xbf6ffc0f, 0x3ff195ab,
    0x3ea2669e, 0xbf29dac8, 0x3f4897de, 0x3d53d7be,
    0x3ed81d81, 0x3f004b7e, 0xbe2d69a9, 0x3e46668c,
    0xbec9cf6c, 0xbf3b6658, 0xbf09c97a, 0xbe11625b,
    0x3e5e267d, 0x3f5ff073, 0x3f075969, 0xbe65097a,
    0xbed1d7db, 0xbe687b60, 0xbecda0f6, 0xbf2c0c52,
    0xbdbffb81, 0x3f264cc6, 0x3d059927, 0x3de1c70a,
    0xbf4b90d6, 0x3f1721cf, 0x3e7ce237, 0xbf22aa11,
    0x3eaaefc7, 0x3d1fbf7b, 0x3f28885c, 0x3f69cd57,
    0x3f8c9019, 0xbecdbef9, 0xbf2869f8, 0xbf37368f,
    0xbf4c4f5a, 0xbe29d4b5, 0xbefb8067, 0xbe6d7b81,
    0xbb85c7f0, 0x3d0e87eb, 0x3f8e8edf, 0x3f2239db,
    0xbf155dff, 0xbe9d21de, 0x3fbc68a4, 0xbf97997c,
    0xbfb11182, 0x3f3155d9, 0xc01ab02b, 0x3b430f43,
    0x4028d83d, 0xbdf78222, 0xbf6ca1be, 0xbf82628f,
    0xbfab446e, 0x3fb1675a, 0xbfd42116, 0xbf873930,
    0xbedc0d91, 0xbfd10cbf, 0x3fa9662f, 0x3e14fa9e,
    0x3fa593f2, 0xbe689706, 0xbfd7fdd6, 0xbfab4d0e,
    0x3e91761d, 0xbf4629cd, 0xbf85e11a, 0x3f277b6d,
    0x401071cb, 0x3fa2a82f, 0x3fa3fa8e, 0x3f55af3c,
    0x3fa85e8f, 0x3f786928, 0x40ba5120, 0xc03c8013,
    0xc038e3a2, 0x3f9e457a, 0xc0efe39e, 0xbebe0c2f,
    0x4107be95, 0xbf13c6af, 0xc023d3e1, 0xbfcdd678,
    0xc05bf523, 0x408fa3ec, 0xc0bf0229, 0xbf9409ea,
    0xc0316037, 0xc09c60bb, 0x3fa7d270, 0xbf0c61fb,
    0x4081d503, 0xbfdc40f0, 0xc0c34d44, 0xc0187207,
    0x3ec1c238, 0xc0699fd9, 0xc013de94, 0x3fdc1ad1,
    0x40cdcac7, 0x4060d804, 0x40671556, 0x40315110,
    0x40c1a746, 0x4004f365, 0x40674fe5, 0xc022d5f5,
    0xbfe151ad, 0x3f80da5d, 0xc0b8ccd8, 0x3d6098e5,
    0x40a553b4, 0xbf444915, 0xc0053982, 0xbfac2968,
    0xc019e812, 0x4034f887, 0xc05c73da, 0xbf9677b7,
    0xbfe60ac8, 0xc06f8887, 0x3fc770c5, 0xbe0f1b86,
    0x404e8472, 0xbf592037, 0xc08d3aa2, 0xbff0a7e1,
    0x3e974e1c, 0xbff31473, 0xc0085fce, 0x3f827c22,
    0x4089fe93, 0x4036a323, 0x4016a5fe, 0x40267fe0,
    0x408cccfd, 0x3fd2e30b, 0x3eff6a7a, 0x3dc81108,
    0x3e17d0e6, 0xbdd28677, 0x3efcf02e, 0xbef17b19,
    0xbe58c53c, 0x3eac8340, 0x3f368329, 0x3e09149a,
    0x3dea4959, 0x3ef6cf7d, 0xbf144054, 0x3ec72bbc,
    0x3ea63850, 0x3e8eb181, 0xbf31f636, 0x3e8ab1a5,
    0xbd3fffe3, 0xbf6d189c, 0x3f356b3f, 0x3ec38e2a,
    0x3d884673, 0x3ed886be, 0x3e10dcbc, 0xbe314ffb,
    0xbf21b8bd, 0xbf825c18, 0xbd8fc1e4, 0xbd69e302,
    0xbd85c261, 0xbea2db2d, 0x4110709b, 0xc0afec84,
    0xc0a00768, 0x401ac062, 0xc15ff1d1, 0xbe8f247c,
    0x415b26a5, 0xbfab7979, 0xc0a9aa51, 0xc04c2b0b,
    0xc0c76b7b, 0x40eaa79f, 0xc10c5708, 0xc049454c,
    0xc084faa3, 0xc105994e, 0x4069e38c, 0xbf5d5d65,
    0x40f88779, 0xbff8a2dc, 0xc12e1f34, 0xc0ab662a,
    0x3ef4312e, 0xc0b226d4, 0xc0a7486e, 0x405bd9c8,
    0x4131a53b, 0x40d97adc, 0x40c40086, 0x40a9b9c5,
    0x412a4e72, 0x408c81c1, 0xbfacbc69, 0x3f9dbf54,
    0x3fbc162c, 0xbf72930f, 0x40837526, 0xbd653696,
    0xc040f244, 0x3e5ecd6f, 0x401aa30d, 0x3f76d85f,
    0x3fa81fc6, 0xbf8c7ce2, 0x3fae3123, 0x3f9870cd,
    0x3f84483e, 0x4019a9a6, 0xbfcbcf82, 0x3f251363,
    0xbff3dc68, 0xbead806a, 0x400b549b, 0x3fdff7cc,
    0xbe5c19a0, 0x3fb9cbfe, 0x3fe9146d, 0xbfc1e454,
    0xc059d063, 0xbfeb29be, 0xbfc34a69, 0xbfc493d4,
    0xc017304d, 0xbfe165de, 0x406cb9b2, 0xc028f5b1,
    0xc031dcae, 0x3fb4ba57, 0xc0dec7f2, 0x3f09e06b,
    0x40bc7f8a, 0xbf484465, 0xc0303565, 0xbff0a347,
    0xc02b105a, 0x403c922b, 0xc062dce9, 0xbfb616ce,
    0xbfce3242, 0xc06b796f, 0x4016d594, 0xbfa8eaf2,
    0x405a7508, 0xbe86ae10, 0xc097331c, 0xc02f275c,
    0x3ebcad92, 0xc03fd13e, 0xc027230c, 0x4009ef1b,
    0x40b47e22, 0x4080bc6c, 0x401a9245, 0x4015877a,
    0x408788e4, 0x40124b6b, 0x401eea5c, 0xbfe0b852,
    0xbfe11c5e, 0x3f6c0e12, 0xc0a6b402, 0x3f1e4ec0,
    0x4093a7c1, 0xbf2553ca, 0xc0393442, 0xbf9a0098,
    0xbfe48b42, 0x3fd4334e, 0xc01c911c, 0xbfa16a85,
    0xbfdb6112, 0xc0339828, 0x3fc81b0b, 0xbf37796c,
    0x402c6117, 0x3dbbd735, 0xc0817573, 0xbffda420,
    0x3f21cd94, 0xc016c2f6, 0xc00601b9, 0x3fc7fe74,
    0x408e6ebc, 0x40315344, 0x3ff1981f, 0x3fc65563,
    0x4069b171, 0x40054bcc, 0x3f2ac1b3, 0xbf41a37d,
    0xbe5c359e, 0xbc95a152, 0xbeacd720, 0x3d5d8a9d,
    0x3f9f8342, 0x3beb21dc, 0xbeb4562a, 0xbebcf3be,
    0xbe015615, 0x3f2081fb, 0xbe063045, 0xbeb8502f,
    0xbf633a0e, 0xbf4b06ac, 0x3d33c075, 0x3f1e8f96,
    0x3ea589cf, 0xbd9b5157, 0xbf7d0c83, 0xbd561989,
    0xbed1f533, 0x3dad31f7, 0xbde8d860, 0xbf1189b5,
    0x3ea9819d, 0xbe235c70, 0x3eeb05b3, 0x3e8fa6ef,
    0x3f9995b3, 0x3efd87e7, 0x40cc115f, 0xc0981af2,
    0xc0836cd9, 0x400450ba, 0xc12d2a7d, 0x3f5a302d,
    0x4124e14f, 0xbfb60ce9, 0xc09457f6, 0xc0524dbb,
    0xc0931cf9, 0x409ff188, 0xc0cbf754, 0xc038eca6,
    0xc05e9eb0, 0xc0d38851, 0x406355d2, 0xbf5f292f,
    0x40c6a425, 0xbf4f40b1, 0xc10bb66e, 0xc08875b2,
    0x3ec1876d, 0xc070677c, 0xc07f5503, 0x40175128,
    0x410f85e6, 0x40ba6a2e, 0x40a3f73b, 0x408ce871,
    0x40eb378d, 0x406daea4, 0xc00766aa, 0x3f843af2,
    0x3fc0e94d, 0xbeee3c83, 0x403ff2c5, 0x3f6d19a0,
    0xc046c10f, 0xbeebd02f, 0x3d5e5f26, 0x3f7924e8,
    0x3fe7b265, 0xc0064316, 0x402fa92a, 0x3f493a04,
    0x3e76a594, 0x3fc9ff79, 0xbfa7be58, 0xbedd283a,
    0xbfbc94df, 0x3f27a545, 0x3fa0168c, 0x3fa2df22,
    0x3dfcb6eb, 0x3fc76e82, 0x3fe96fec, 0xbf9c9ef7,
    0xbfecbcae, 0xbf9e353f, 0xbfcac99e, 0xbfb52c6d,
    0xbf9cdb0d, 0xbfa75012, 0x40213b3e, 0xbfe802e5,
    0xc00850e1, 0x3f751433, 0xc08ce79f, 0x3eb5c26a,
    0x4077e961, 0xbf8bfbe5, 0xc015b1b7, 0xbf8d87f6,
    0xbfd0601a, 0x3fff0669, 0xc0197db6, 0xbf8dc59c,
    0xbf6a99b6, 0xc0329b0b, 0x3f97a2ce, 0xbf465320,
    0x40320804, 0xbe3b5a13, 0xc059a970, 0xbfc61d97,
    0x3efeae8f, 0xc00053f6, 0xbfa7b6f4, 0x3fb23d32,
    0x4079ddcf, 0x401b7dfa, 0x400836ed, 0x3f8e726c,
    0x40595634, 0x3faca51e, 0xc0702422, 0x400093ff,
    0x4012571f, 0xbfb53221, 0x40aa70de, 0x3d3f66df,
    0xc0ab6d59, 0x3ec61bbb, 0x40067536, 0x3f8c40b3,
    0x3fd96bb0, 0xc02a9daf, 0x405bd028, 0x3f59ce1a,
    0x3fbf1621, 0x405583de, 0xbf1474fa, 0x3e81b007,
    0xc01e741e, 0x3f895a27, 0x4073ce9a, 0x3fd0df94,
    0xbec16c5b, 0x402df3eb, 0x3fb725f6, 0xbfaeed6f,
    0xc06fdb47, 0xbffcf0d8, 0xbff5fc13, 0xbfeeb9a3,
    0xc095cb21, 0xbfe0fa98, 0xc10037c5, 0x40a4af85,
    0x408480d4, 0xc0074749, 0x4133a88d, 0xbf22fb01,
    0xc13ee9e7, 0x3fd1c5e8, 0x409a1516, 0x40367a00,
    0x40a320aa, 0xc0c74c74, 0x40f82e20, 0x401932b8,
    0x4087dc59, 0x40ee61f5, 0xc027d34a, 0x3ec34b6d,
    0xc0d2fe1f, 0x4005f3c0, 0x411baeae, 0x4076f6c3,
    0xbdeb2f87, 0x4093a2dd, 0x406b6b00, 0xbfe528c5,
    0xc11c7548, 0xc0b69b52, 0xc0b49373, 0xc0887e32,
    0xc117e05e, 0xc055904b, 0xbfff11ed, 0x3f8bed04,
    0x3fd8c574, 0xbdf7edeb, 0x408815bc, 0x3e71128f,
    0xc07e9313, 0x3e8ac4ea, 0x3fb050a4, 0x3f612a40,
    0x3ff0a2bb, 0xc00f0d01, 0x4025db84, 0x3f61ed20,
    0x3fc2fb1d, 0x3fe75be0, 0xbfb3b5e0, 0x3ebb7cf6,
    0xbff501bf, 0x3ed4ea48, 0x4024a4a5, 0x3fc7bdb6,
    0xbf0a9fb2, 0x3fcb85bd, 0x3ff1d7ae, 0xbfbe189f,
    0xc04f4bb7, 0xc0088d93, 0xbfc9f610, 0xbfe6064a,
    0xc00eee53, 0xbfb10144, 0x40ec23b1, 0xc0807546,
    0xc078d177, 0x3ffe4593, 0xc1291ecb, 0x3d3d3176,
    0x4131dfd5, 0xbf95cee3, 0xc0883eae, 0xbffb52e9,
    0xc08c61f5, 0x40b3e7b9, 0xc0e81cd5, 0xbfc9cba6,
    0xc06bd7b2, 0xc0d250ce, 0x401ace4f, 0xbf89e8de,
    0x40bddc90, 0xc0013696, 0xc10cb327, 0xc065b890,
    0x3ee9933c, 0xc09cfc4a, 0xc05030d0, 0x40082b13,
    0x410aef6a, 0x40aeb776, 0x408b7cbe, 0x4067ce68,
    0x410761c5, 0x403d6978, 0x3f16e9a4, 0xbf3cf3d0,
    0xbef4345b, 0x3f4af8f7, 0xbff46247, 0x3e70b0c8,
    0x3f881f23, 0x3e0bd3cf, 0xbee85dd2, 0xbf15b68d,
    0xbf6e7337, 0x3ebcfd62, 0xbe514bd1, 0xbef70162,
    0x3e31cc8a, 0xbf8f7b47, 0x3f4de57c, 0xbe6aed81,
    0x3f621d7f, 0xbc8e3f60, 0xbf574c5c, 0xbf36e7e3,
    0x3d4ec749, 0xbeedc717, 0xbf8c4c0b, 0x3f377a0a,
    0x3f45b91c, 0x3f497ca1, 0x3f324131, 0x3f045831,
    0x3f83381a, 0x3eea93e3, 0xc08252e0, 0x40246caa,
    0x401529d5, 0xbfc25002, 0x40c8a462, 0xbe9aeddd,
    0xc0cbdecc, 0x3f812769, 0x402224bd, 0x3fc68f1d,
    0x403c3bad, 0xc04d5bc6, 0x4077bebb, 0x3f912a01,
    0x3fef4fa3, 0x40751d35, 0xbfbe03d0, 0x3f63c297,
    0xc069a5ac, 0x3f384f32, 0x40a173ad, 0x40270b85,
    0xbf18423e, 0x402f5967, 0x401e79b5, 0xbfe346ee,
    0xc0ad309d, 0xc03f3f6f, 0xc0298db4, 0xc0064c16,
    0xc096a57f, 0xbff978f2, 0xc0984c46, 0x404f90e5,
    0x402a126d, 0xbfb8d521, 0x40fe2d80, 0xbe9957c4,
    0xc0f43ab2, 0x3f91796b, 0x40730843, 0x400273b5,
    0x40474945, 0xc0654a98, 0x407f28c3, 0x3ff4d61a,
    0x4010ed72, 0x409de097, 0xc00bf8ba, 0x3f35d5a6,
    0xc08dea40, 0x3f252955, 0x40c2ba6e, 0x4058c8ca,
    0xbec00da9, 0x403ddb56, 0x404d2c00, 0xc008be2e,
    0xc0cb74d0, 0xc08554e9, 0xc055e972, 0xc02e6367,
    0xc0c1c996, 0xc0208107, 0x3f9034f9, 0xbedbf3af,
    0xbf82f6a8, 0x3ec9b6e6, 0xbfafea55, 0xbe44259e,
    0x3fb8c1c3, 0xbec2624b, 0xbf5916d6, 0xbda6b6db,
    0xbf112ac4, 0x3efac029, 0xbf86ff82, 0xbd219964,
    0xbec4d8fa, 0xbf1b3e50, 0x3f09f46d, 0xbe3a43a7,
    0x3ecca79e, 0xbd713373, 0xbf40f4e4, 0xbf8d3ccf,
    0x3d4581bf, 0xbf5f869b, 0xbf0fb7eb, 0x3f980371,
    0x3fbbb9b0, 0x3f02802e, 0x3f0f07cf, 0x3f2e874b,
    0x3f8135d8, 0x3ed7d1c9, 0xc0e28807, 0x407a3ed2,
    0x4062ba05, 0xbfd85a77, 0x4120bebe, 0x3ad6c987,
    0xc11c346f, 0x3fa8c20a, 0x4065cfbe, 0x400d60cb,
    0x408ae9a6, 0xc0b6540f, 0x40e069d9, 0x3fe1338e,
    0x403c3cfa, 0x40cf7a79, 0xc00a54bd, 0x3f4bddd0,
    0xc0a9a419, 0x3ff8a0ad, 0x40fd0ae0, 0x405255fa,
    0xbf3aaad2, 0x40738415, 0x404acacf, 0xc01e4731,
    0xc0f06a32, 0xc08d95e2, 0xc0835044, 0xc07633b7,
    0xc102f85f, 0xc039bf76, 0xc0b41842, 0x4056d164,
    0x4062fa36, 0xbfea88c2, 0x410ea8e9, 0x3dd51f03,
    0xc108e903, 0x3f30b8f9, 0x4068367d, 0x3ff506f4,
    0x40518f30, 0xc0961a0a, 0x40b1570e, 0x3ffa1b4e,
    0x4027a08f, 0x40a36b2e, 0xc003ea20, 0x3f44993d,
    0xc092429e, 0x3fac1563, 0x40d19181, 0x40475cfc,
    0xbedab050, 0x408a3321, 0x406776bc, 0xc03d73ae,
    0xc0e01714, 0xc089e497, 0xc0623075, 0xc053aea9,
    0xc0d51b59, 0xc041659f, 0x3fc28712, 0xbf8d45b0,
    0xbf2ee81c, 0x3e94a1b5, 0xc021cb75, 0xbe4c475a,
    0x40340ec0, 0xbebbab0d, 0xbf9b31bb, 0xbeea929e,
    0xbf91813b, 0x3f9d661b, 0xbfcbae27, 0xbed255fe,
    0xbfae9bd2, 0xbf7bc27c, 0x3f026193, 0xbdf12449,
    0x3f9d7163, 0xbedf504c, 0xbfed6bf0, 0xbf5db7b8,
    0x3df5afdf, 0xbf981fd6, 0xbf8d9b97, 0x3f5dbc2a,
    0x4000cbe7, 0x3fbcf6fd, 0x3f45b6df, 0x3f959525,
    0x3fe2c84b, 0x3f9ab607, 0xbfaafcff, 0x3fdcf660,
    0x3f818108, 0xbef1ecd7, 0x4063b20b, 0xbdb0f2a4,
    0xc03f1344, 0x3ee7c2f2, 0x3fdb01d4, 0x3f6e1456,
    0x3fb9a6bc, 0xbf9d50cb, 0x3fdc2ebb, 0x3f242f84,
    0x3fa3b0dd, 0x3fdf42b0, 0xbfeacc2d, 0x3f2d03e8,
    0xbff183f4, 0xbe84d1c3, 0x40379f41, 0x3fe2bd0e,
    0xbe7f2790, 0x3fa353b8, 0x3fa00b4a, 0xbf87d39d,
    0xc043ba0a, 0xc0075d02, 0xbfa8c3b2, 0xbfbbc1e9,
    0xc004aa9f, 0xbf9cc5b4, 0xc0751e49, 0x401a47f4,
    0x40335b45, 0xbfa56352, 0x40cd906f, 0xbebc9c3e,
    0xc0c6e29a, 0x3f9feab3, 0x40659a32, 0x3fcca74c,
    0x401b9d36, 0xc02858f7, 0x405d1333, 0x3fc63876,
    0x401b8dda, 0x406d58eb, 0xc000840a, 0x3f9f9e01,
    0xc070616b, 0x3f19eb99, 0x40a6380a, 0x401a52e0,
    0xbf2323d3, 0x404b2b93, 0x400f2eef, 0xbfccd436,
    0xc0c07448, 0xc081a756, 0xc03caa9f, 0xc00c4fdf,
    0xc09d7b9a, 0xc00f8c58, 0xc11a3dff, 0x40c028e8,
    0x40ba28fe, 0xc0358848, 0x41639de1, 0xbef0d3fb,
    0xc16ac1b0, 0x3fcad89d, 0x40b91e1e, 0x40600710,
    0x40c982b0, 0xc0e76443, 0x41129043, 0x404d930e,
    0x4082e8e7, 0x410a278f, 0xc07fd6af, 0x3fb7f53c,
    0xc0fdca99, 0x3fe24abe, 0x41330bdf, 0x40a95985,
    0xbf158de5, 0x40cac51f, 0x40a45b28, 0xc05e8970,
    0xc13c80d7, 0xc0e7deea, 0xc0c75b7a, 0xc0a5358a,
    0xc129aeae, 0xc0898ed6, 0x40614f7f, 0xbfa26c26,
    0xc00c639e, 0x3f81f8da, 0xc096e761, 0xbdf31029,
    0x409668d6, 0x3dac2a6f, 0xbff9e54d, 0xbf92206e,
    0xbffe3370, 0x402fec1e, 0xc05fb9f1, 0xbf7fa3c4,
    0xbfd17958, 0xc04372c1, 0x3f4b97ed, 0x3cebcb9f,
    0x401cee37, 0xbf7956bf, 0xc049a619, 0xbfb187d4,
    0x3f16bb5a, 0xc0290908, 0xbfb0cbca, 0x3fa3c863,
    0x405a1c7f, 0x3ffe2e03, 0x3ff31ee6, 0x3feb3fad,
    0x406b9bc9, 0x3fc9a26d, 0xc1099447, 0x408a9335,
    0x409cc051, 0xc00961d3, 0x41542883, 0x3f1c2b16,
    0xc1500a6e, 0x3fb309f0, 0x40a70cce, 0x403dd2fe,
    0x40ac45b5, 0xc0efec7f, 0x4114fa6d, 0x3ff7b499,
    0x4074fd26, 0x40f91f98, 0xc01d73d9, 0x3fbc01ad,
    0xc0e0d304, 0x400eae7d, 0x4120f9d6, 0x40937757,
    0xbf82a477, 0x40bce61b, 0x40a7e720, 0xc08b3837,
    0xc128877d, 0xc0cfb668, 0xc0a39844, 0xc0a1307e,
    0xc12f488c, 0xc06d46ce, 0x40d47bc2, 0xc04e3d7b,
    0xc046fd15, 0x3fb1c92c, 0xc1089d34, 0xbe889215,
    0x4113cce6, 0xbf8046fc, 0xc0362c5e, 0xc005c6a8,
    0xc0732b50, 0x40b59e78, 0xc0cd55db, 0xbfa59dd4,
    0xc02f09d2, 0xc0a522b8, 0x3faa8e95, 0xbf1d60ec,
    0x408d559b, 0xc018319f, 0xc0d9e9e7, 0xc00ffdee,
    0x3e995dab, 0xc0672537, 0xc0303bff, 0x3fd29058,
    0x40d5fb2e, 0x4071d59f, 0x406a69af, 0x406171ff,
    0x40daba07, 0x40110fc0, 0x4016bfbb, 0xc00e99f3,
    0xc014a0f4, 0x3fa68dbd, 0xc0bb8cee, 0xbd5d4fb0,
    0x409b6a86, 0xbf6aacb4, 0xc037746d, 0xbfd6ce8e,
    0xc003c592, 0x401c4056, 0xc03de728, 0xbfcc8ab8,
    0xbfa01079, 0xc048fc1c, 0x401731db, 0xbf871cdb,
    0x404823e0, 0x3f48b92a, 0xc07339fc, 0xc0458006,
    0x3eb3db13, 0xc0182d63, 0xc047664c, 0x402a5b56,
    0x409cb5d7, 0x404ae8f1, 0x40228498, 0x40004df3,
    0x40820067, 0x400031f0, 0x40613551, 0xbff4658f,
    0xc011c31b, 0x3f6a42ae, 0xc0bc0813, 0xbec2625c,
    0x40b8fb67, 0xbf3d6d67, 0xc02b2931, 0xbf681242,
    0xc010a5ff, 0x40458f81, 0xc071b753, 0xbf282bf2,
    0xbfd41712, 0xc0590e9f, 0x3f9c0df1, 0xbf785cad,
    0x403bcd87, 0xbf6041b0, 0xc08b4ec2, 0xc01f5256,
    0x3f320be4, 0xc03ebf26, 0xc02c4a8c, 0x4018d24a,
    0x4095d152, 0x40406019, 0x4013bf03, 0x401854f9,
    0x409cc8db, 0x40010e72, 0x40423560, 0xbfe745a2,
    0xbfdd4120, 0x3f4f017b, 0xc09d1d29, 0x3e0f9de3,
    0x409b774e, 0xbf29817f, 0xbfe7d05f, 0xbf806fc5,
    0xc004e2f8, 0x401df7bc, 0xc047c726, 0xbf93c3d5,
    0xbf8e9d55, 0xc03ae0b7, 0x3fae9742, 0xbf3f5138,
    0x403569f9, 0xbf3e7049, 0xc06ab7b4, 0xbfdb4e6e,
    0x3d6b9156, 0xc0285c9c, 0xbff565ed, 0x3fc59a55,
    0x40876fc7, 0x40247329, 0x4005106b, 0x3fd95205,
    0x4075a38e, 0x3fa3200c, 0x3e44d5a5, 0xbfe4b285,
    0x3f6c85f3, 0x4008763c, 0xbf60edd7, 0xbfdad66d,
    0x3ebed1c6, 0xbefbd373, 0xbf27a13d, 0xbfdc14c0,
    0xbf036317, 0x3df028d8, 0xbed6ccf8, 0x3fe04492,
    0xbe9f1fa9, 0x3eb07298, 0xbfd98df7, 0xbf348284,
    0x3fb555e7, 0x4022a62d, 0x3fbc31ef, 0x3fa02dc4,
    0x3fdc49e0, 0x3e9d82cf, 0xbee976ee, 0x3f194dab,
    0x3f5e1544, 0xbf9be769, 0x3fa13810, 0xbf5f2986,
    0xbf0ab666, 0xbf0fa238, 0xbf6f2c6a, 0x3ef37192,
    0xbf29d152, 0x3ec62adc, 0x3f9af4a4, 0xbf611cf4,
    0xbf38b831, 0x3e859ee6, 0xbe5738f0, 0xbca29a99,
    0xbf13fd85, 0x3dd3cb30, 0xbe4188d4, 0xbf23f18c,
    0x3f73aa8e, 0xbe75a472, 0xbe029eaf, 0xbeb69561,
    0xbf236a36, 0x3f4eb7f9, 0x3f91ac52, 0x3f312110,
    0x3f6c3f64, 0x3f50d33d, 0xbea7fdfc, 0xbe8f0d87,
    0x3e73cf0f, 0x3ec35ccd, 0xbefb7678, 0x3f7bf77f,
    0xbef77545, 0xbec7aae0, 0xbf03ad79, 0xbf0bb6d0,
    0x3eb01471, 0xbfdf5ee7, 0x3f1313fe, 0x403cbdea,
    0xbf70e0f7, 0xbfa510f1, 0x3fb4b6b9, 0xbf7d0b0e,
    0xbf7067df, 0xbfee1eba, 0x3da7a6c9, 0xbef3cb0e,
    0xbf4f7217, 0x3fc6cd76, 0xbf2ab4bc, 0x3e690578,
    0xc010c7b4, 0xbf1aa1d5, 0x3ff12e6c, 0x401a62fe,
    0x3ffb164c, 0x4001609f, 0x3fc7dbbc, 0x3f214618,
    0x3e15fc27, 0xbed835b2, 0x3f71ab1c, 0xbfb449a4,
    0x3f8db06d, 0xbfae3c1d, 0xbeed5e36, 0xbf3780c6,
    0xbf353dad, 0x3e1a72bf, 0x3ef3c215, 0xbee8db24,
    0x3c853be1, 0x3ee0ece8, 0x3f545d72, 0x3d8fdae0,
    0x3e720c1b, 0x3e0415f6, 0x3d016906, 0xbe383175,
    0xbe8dbaa3, 0xbceb63c2, 0xbe71f83a, 0xbd7b2715,
    0xbe080fac, 0x3c86201d, 0x3f2bb2b4, 0xbed6f7b6,
    0xbf4b6d25, 0x3e819400, 0xbe471bfb, 0x3df703c1,
    0xbe87314b, 0x3ea00760, 0xbf4f1bbe, 0x3c3a09a8,
    0xbdf08b77, 0xbf3e7d20, 0x3ec304b4, 0x3e5fffa3,
    0xbd92b4ee, 0x3ea6bc8e, 0xba19e738, 0xbec2c96a,
    0x3ec3a738, 0xbd702d08, 0x3e99bd07, 0xbf2ce1e5,
    0xbe4b5f4c, 0xbe2a19f4, 0xbee641c9, 0xbc193d46,
    0xbe2f52c9, 0xbdfcc95a, 0x3eaaa610, 0x3f372fd0,
    0x3f1a4d9d, 0xbbb16605, 0x3e64d55b, 0xbe5cd061,
    0x3e9bf773, 0x3ec2d705, 0x3eb18b73, 0x3f619ccb,
    0xbd428592, 0xbdc624cc, 0xbe76e6ba, 0x3d8b6e71,
    0x3ec7f94f, 0xbd9662b5, 0x3e9475d4, 0xbf635a59,
    0xbeef223a, 0xbed66ca0, 0xbd5e41ef, 0xbe7dd556,
    0x3c2e3cac, 0x3e5838ff, 0xbf43d441, 0xbe308c35,
    0xbf052628, 0xbe74b3f5, 0xbb8aabd6, 0xbdd0c21b,
    0x3df7efba, 0x3ee61e0c, 0x3ecf843b, 0x3d8aecf7,
    0xbe6d3a38, 0x3ef0079c, 0xbe9e8635, 0xbc484e14,
    0xbf119603, 0x3d110d4d, 0x3ee50821, 0x3d23c1f1,
    0xbd57bfc9, 0xbe9cadeb, 0xbc495a32, 0x3ea92f96,
    0x3e08aedf, 0xbe1227c2, 0x3e6fa5a4, 0x3e00de3a,
    0xbde4ae58, 0x3dd5720b, 0x3e3b962a, 0x3e3a9379,
    0xbf44a548, 0x3ecf31fa, 0x3f01a2e0, 0xbf344e11,
    0x3e3df7cf, 0xbdade5bf, 0xbe93da22, 0x3e446428,
    0xbed61aab, 0x3e912d4a, 0x3cf125cb, 0x3e58838e,
    0x3fbbc199, 0xbdb42eb7, 0x3efdcf8a, 0xbf2cda59,
    0x3ea47869, 0xbe1caa30, 0x3cdc07c9, 0xbf665436,
    0xbc60bebd, 0xbf0b1f7a, 0x3c9d2ac8, 0xbf0e782f,
    0x3f496f6d, 0xbf06f531, 0x3e78ad9a, 0x3e04c037,
    0xbeb4290e, 0xbeec2051, 0xbea6a422, 0x3ec5b028,
    0x3f3545e2, 0xbf136562, 0x3fab87a4, 0x3e202705,
    0xc0040352, 0x3f6eb39e, 0x3ef79646, 0xbfac1b48,
    0x3f167a4c, 0x3f112b15, 0x3fbcef12, 0x3e90d425,
    0x3f5904fc, 0x3fc7c64e, 0xbfdd47e7, 0x3eb9f4a4,
    0xbf11693f, 0x3fca4fa4, 0x3e9c6549, 0xbfadcc41,
    0xc009ce2f, 0xbfb1ef48, 0xbfc7ef0c, 0xbf50592f,
    0xbf1065d2, 0x3bd41fbd, 0x3d29eeed, 0xbf2a13ba,
    0x3f68fd4d, 0xbf754db7, 0x3f7afeea, 0x3d97d715,
    0x3f67a949, 0x3f39f05c, 0x3f030b58, 0x3dafa8d3,
    0xbf34a234, 0xbee43d19, 0x397ce804, 0x3f1b3844,
    0x3e87cbd3, 0x3db97509, 0x3f05a603, 0x3e28a488,
    0xbe85018f, 0xbef03c80, 0xbf154a85, 0xbea36e8f,
    0xbee74bce, 0x3e3cc6f5, 0x3e39bc70, 0x3ed6d387,
    0xbe65735f, 0xbe85916b, 0x3d86e3e2, 0x3e2eda56,
    0xbf2244fc, 0x3bf4eeff, 0x3eb44ae6, 0xbe60cba2,
    0xbec43424, 0x3cbe7002, 0x3e34ad39, 0x3ecb26d9,
    0x3f0df543, 0xbc248f7c, 0x3e1efc7c, 0xbe03ccc4,
    0xbf444d35, 0xbde991b7, 0x3fbc581e, 0xbf34bc4a,
    0xbe446c77, 0x3f4bf19a, 0xbf07d38a, 0xbf1ecb39,
    0xbf67b4b3, 0xbd925fde, 0xbe677919, 0xbfa21a63,
    0x3f8bc288, 0x3d423b2a, 0x3ec4c40b, 0xbf447a86,
    0x3d5beff2, 0x3f8915c5, 0x3f9d7d79, 0x3f576fcf,
    0x3f4c81f3, 0x3f0f90da, 0x3f0741ae, 0xbc6cb7a2,
    0xbed2ff9e, 0x3ecb57ec, 0xbf164103, 0x3ef9588d,
    0xbe9f2dca, 0x3e635242, 0xbee45629, 0xbf43fb08,
    0x3d000426, 0x3ec32aa9, 0xbf2d833f, 0xbf88b6ea,
    0xbb83a0eb, 0x3f1b2cc2, 0xbf14ce96, 0x3c8ce0c2,
    0x3ecf27a2, 0x3f4338ec, 0x3f22d5f9, 0x3ed9e576,
    0xbeb3068e, 0xbee3f2df, 0x3f1b67c6, 0x3e8333a5,
    0x3f4f5203, 0x3e2b55b3, 0xbf054e4e, 0xbeb09fb2,
    0xbf28968e, 0xbee63ba8, 0xbfa4415a, 0xbe7366fc,
    0x3e13c171, 0x3e99e482, 0xbee178ec, 0x3ec9c3c5,
    0xbed1c3f5, 0x3f2041de, 0x3ea8dd71, 0x3c4c90c2,
    0xbe0f4c7a, 0x3f2c5734, 0xbf928175, 0x3f0910ae,
    0x3fdca31e, 0xbe41f7a4, 0xbeff2af2, 0x3f0b1284,
    0x3e42d386, 0xbe74913f, 0xbf88999a, 0xbf6658cc,
    0xbd560a69, 0xbedcca13, 0x3f23e78b, 0xbf0627f7,
    0x3ec582c2, 0xbf998782, 0xbe3c77e9, 0x3ef2c075,
    0x3f945000, 0x3f251033, 0x3f90d3fa, 0x3f9541af,
    0x3ea7c760, 0xbf3ba452, 0x3f104ac3, 0x3ef623bb,
    0xbf65977e, 0x3d88222e, 0xbe24cd44, 0xbe81c8a9,
    0xbe63d885, 0xbf5d3af6, 0xbeb89e1f, 0x3e80f08b,
    0xbe136d74, 0xbf54efb7, 0x3f83ba74, 0x3c907d09,
    0xbf9ab265, 0x3e6654fb, 0x3d11b13c, 0x3f28ca3a,
    0xbe604fd3, 0x3f27411b, 0x3f050490, 0xbee76151,
    0x3e95eb65, 0xbec2c8e6, 0x3ecd5096, 0x3e883373,
    0xbed59aff, 0xbed3c463, 0xbf0b1d5a, 0xbf29fb24,
    0xbf16e16b, 0x3ec4527b, 0xbde108d4, 0x3e8b7ca7,
    0xbe335986, 0x3f15bf8c, 0xbf419043, 0x3eb93b26,
    0x3e1ed012, 0x3d8a0648, 0x3ecc266f, 0x3ec5651c,
    0xbf3b2fe8, 0x3f094e08, 0x3fbae91f, 0x3e86cc66,
    0xbf606f76, 0x3edc4832, 0xbedaa456, 0xbeab0b94,
    0xbf5b2237, 0xbf0d6d54, 0xbef118c5, 0xbde3392d,
    0x3f9ac3bb, 0xbec6c7b1, 0x3e8c3ebd, 0xbf364a5e,
    0xbe9e3e35, 0x3f5adc13, 0x3f82f086, 0x3f05c451,
    0x3f260525, 0x3f7d3280, 0x3ecea0a8, 0xbf5884b2,
    0x3dc1a451, 0x3e7155fa, 0xbf083deb, 0x3e43c3b8,
    0x3b5fc938, 0xbeaf5bd4, 0xbee6c613, 0xbef76516,
    0x3d3e72c1, 0x3f67d2c4, 0xbea7af9d, 0xbf8652d6,
    0x3c4a214e, 0x3f662a7e, 0xbead11af, 0x3e98c414,
    0x3f4be0e2, 0x3f2a5afe, 0x3d5c54d2, 0x3ecbed8b,
    0x3e9afa82, 0xbf6713cc, 0xbd7800db, 0xbe06fa9d,
    0x3f69765a, 0x3edd29bf, 0xbfa4768f, 0xbfba2838,
    0xbfb31938, 0xbf62f1d3, 0xbf3426a6, 0xbcfa14bc,
    0xbe92e80a, 0x3f20e096, 0xbf102b19, 0x3f7516cc,
    0xbeb9ba91, 0x3f258b2c, 0x3db249df, 0x3f043e92,
    0x3e905300, 0xbe86fd5d, 0x3faabc02, 0xbe45bac5,
    0xbfe3bdf8, 0xbcad619b, 0x3f56e8a4, 0xbe97a8f3,
    0x3eeddb56, 0x3f58a27b, 0x3f69009b, 0x3f463fdc,
    0xbdc8ca05, 0x3e86a17f, 0xbfad1781, 0x3e02f978,
    0xbea4a82a, 0x3f0c8dc7, 0x3ee1e6b9, 0xbf6c557e,
    0xbfe68a92, 0xbf3d13ae, 0xbf7ccd22, 0xbf7d5bf3,
    0xbea47176, 0x3f78b847, 0xbeb2f586, 0xbeee0a67,
    0x3f069a7a, 0xbe78a5b5, 0x3dc638ea, 0x3edda483,
    0x3f690e0c, 0x3f10387d, 0xbf370028, 0x3f3eeded,
    0x3dd6dd11, 0xbf8af0ff, 0x3f333a5f, 0x3dcde6f4,
    0xbfb86f9f, 0x3eb37200, 0xbd917ccb, 0x3eeab452,
    0xbcad0689, 0x3ed0d0d8, 0x3f677ba2, 0xbf128cb5,
    0x3efc56ea, 0xbf655dbc, 0x3f43d47f, 0xbc9a978a,
    0xbed9ffb8, 0xbeee9285, 0xbcfd8aa7, 0xbf9ee9a2,
    0xbf03ab8b, 0xbb85618c, 0x3f0271af, 0x3d3694ee,
    0xbec65be2, 0x3dd0cd97, 0xbf6095c4, 0x3f59d758,
    0x3e73fc1a, 0x3eb90bff, 0x3f3c7451, 0x3e838a9b,
    0xbf5e7625, 0x3c9a7f5f, 0x3fbe27eb, 0xbf19cb69,
    0xbeaf0f20, 0x3f40c894, 0xbd922982, 0xbe3e9a1e,
    0xbf711882, 0xbeed7637, 0xbee73520, 0xbf0fbea2,
    0x3f4cd10f, 0xbd7760d4, 0x3e2c94a6, 0xbfa4d7dd,
    0xbe66a1ba, 0x3f70bc48, 0x3f451034, 0x3fa3efd5,
    0x3f358443, 0x3f6e69d1, 0x3f38a6f2, 0xbe8e6b1a,
    0x3e20e9b2, 0x3e9f683a, 0xbf68543a, 0x3e86975b,
    0xbed2842e, 0xbe708b85, 0xbef45342, 0xbe26e36f,
    0xbf2b89b1, 0x3ed6eb10, 0xbd972b1c, 0xbeb26260,
    0x3edaa0c5, 0x3f207ac8, 0xbcb74089, 0x3f3ece6a,
    0x3e336b95, 0xbe02b354, 0xbf3bbe8e, 0xbd84d986,
    0x3f077eed, 0xbe253dda, 0xbe0be9b7, 0x3e1e44ba,
    0x3e933117, 0x3e5e98dd, 0xbf086170, 0xbf8f239f,
    0xbe3be7ee, 0xbf5e5b1e, 0xbe8af492, 0x3e28085b,
    0xbe10d4e7, 0xbd0a4452, 0x3e134458, 0x3e1322b1,
    0xbee3a2f0, 0x3ec5bd9b, 0xb98c568e, 0x3f24f32e,
    0x3f046c9d, 0xbd486c46, 0xbd33c243, 0x3e5d557c,
    0xbd1bf4e0, 0x3ec39865, 0xbf31fd10, 0xbe2fde95,
    0xbdb9b8ef, 0xbedd60e1, 0x3e6fd0b0, 0x3e344803,
    0x3d60c320, 0x3f1ed9d5, 0x3f239f1c, 0x3f04d02a,
    0xbe16dd7d, 0x3f13d416, 0xbf1d355c, 0xbceca7f8,
    0x3e74bada, 0xbe7b9b7a, 0x3e6bc1a5, 0x3e6c531b,
    0xbe98033c, 0xbeb0700b, 0x3e465f29, 0x3e2a2f15,
    0xbd4ca527, 0x3e91f62a, 0xbe971f2d, 0xbe92b60e,
    0xbf18e65c, 0xbe2a4a67, 0xbe3723de, 0x3ea8b2e7,
    0xbd268a8a, 0xbeaed558, 0x3f38bd86, 0x3e937d7c,
    0x3c85fbb2, 0x3e8620e5, 0x3ebfa36b, 0x3e90652a,
    0xbeb2f416, 0xbe13eae4, 0x3eb0da6f, 0xbec30268,
    0xbde75587, 0xbd904805, 0x3e8e4bbe, 0x3df03047,
    0xbebc0ac6, 0xbf11f7fe, 0xbe886d81, 0xbe939cd2,
    0xbf054d0f, 0x3c0f6123, 0x3e0d4fe6, 0xbe10698f,
    0xbead72f8, 0x3e62bd35, 0x3d66e92f, 0x3e9caf56,
    0xbe481ab7, 0x3e0627fc, 0x3e604a5c, 0x3e9c3b0b,
    0xbe8e5d33, 0x3ddf431a, 0x3e4c05ca, 0xbe25d372,
    0xbf9315bd, 0x3d588262, 0xbe4df037, 0xbe737752,
    0xbc64e1da, 0x3e922a15, 0xbe9f6ea9, 0x3eb4205b,
    0x3ef9eec2, 0x3ef9659a, 0xbde2ade3, 0x3e29cde4,
    0xbf026789, 0x3e8284c7, 0x3f115eed, 0x3da7721e,
    0x3f08607d, 0x3e07d51e, 0xbf0fc19e, 0xbe42301d,
    0x3ee4b23c, 0x3ed18c7b, 0x3d6c41ab, 0x3f20d553,
    0xbf02203f, 0xbec23649, 0xbe9031f9, 0xbeacef69,
    0x3c5911a6, 0x3d562809, 0xbe7fdc02, 0xbdbea8e6,
    0x3e55b386, 0x3eafaae3, 0x3f0a0551, 0xbefb565d,
    0xbef1ce5d, 0x3e4fcdd3, 0x3ce653c2, 0x3d858e4b,
    0xbf2a2e68, 0xbe25848a, 0xbd36c4ac, 0x3ebffd49,
    0xbd3cec87, 0x3ec4f5a6, 0x3e9a787d, 0xbc7a53a8,
    0xbd2057d6, 0x3ead85b2, 0xbe9ced59, 0xbd5d75ec,
    0x3e369adf, 0xbec1d979, 0xbca9ab04, 0x3d1bd8a1,
    0x3d89fb68, 0xbf03cc64, 0x3eddc6ed, 0xbc597337,
    0x3e8b42c1, 0x3d81bf12, 0x3e9e30bf, 0x3e322d7b,
    0xbf0bed80, 0x3e10b242, 0xbe98ecb8, 0xbe5ceb18,
    0x3eb90907, 0x3eadd2a1, 0x3e4df7c4, 0x3eadac74,
    0xbd07d0a3, 0x3f889260, 0xbe42231b, 0x3efaa007,
    0x3dc26e21, 0x3f84d05b, 0xbeacbc3d, 0xbe76359b,
    0xbf075a5d, 0xbf843b11, 0xbe34a32a, 0xbdd1f6ab,
    0xbf78ea70, 0xbe54ad78, 0x3ecd4cd9, 0x3dd3b4f7,
    0x3ea76b8a, 0x3d6a317b, 0xbe9cc5c8, 0xbf07ee1e,
    0xbe3dd854, 0x3d0f4fe0, 0x3dea49a3, 0xbef590cd,
    0xbebc5140, 0x3eff44ec, 0xbf82adfc, 0x3f0ad3bb,
    0x3f5664dd, 0xbecb9a62, 0x3e91d548, 0xbed34dd4,
    0x3f149981, 0xbe233fd5, 0xbf95b4ce, 0xbda6a4d0,
    0xbedd4639, 0x3e037ead, 0xbee1fc3b, 0x3daf5aea,
    0x3ed8560d, 0x3f3fe612, 0x3f170601, 0x3e8832e8,
    0xbe0c83fa, 0x3e9082f9, 0x3e79ec4c, 0x3d8a2880,
    0xbe144d5b, 0xbe579006, 0x3ebc13c9, 0xbe471d41,
    0x3f17703a, 0xbd5e73bd, 0xbefbdcc0, 0x3fa7f294,
    0xbecbcac5, 0xbf4af690, 0x3fc61c5a, 0xbf051c07,
    0x3f0b8cf2, 0x3fbf7683, 0x3d6fa83d, 0xbeaed6f0,
    0xbf6326f0, 0xbe749754, 0xbf3bbc6f, 0xc00137fe,
    0x3f0476a2, 0xbfa53d4f, 0x3f8d16fb, 0xbfc65043,
    0x3f6b3d48, 0x3f248dbc, 0x3f3c1451, 0x3f781209,
    0x3fbb169e, 0x3eec68bc, 0x3f1ad7bc, 0x3e3927a5,
    0xbf188446, 0xbe96a5c2, 0xbf163aef, 0x3eefc146,
    0xbf3bee00, 0xbddac18f, 0xbe429f4b, 0xbee3f769,
    0xbe88020d, 0x3f3b2e74, 0xbe9b7f6e, 0xbfc3c609,
    0x3e056210, 0x3f5dc984, 0xbf7ecc38, 0x3dd36a28,
    0x3eae898a, 0x3f2525f3, 0x3ee0e3be, 0x3f342a65,
    0x3e08dcdb, 0xbfbf28df, 0xbca46a16, 0xbea1fd44,
    0x3f38466f, 0xbc2e1a33, 0xbf58cacb, 0xbf33b8f4,
    0xbf42c9a4, 0xbfaaff23, 0xbf4a8523, 0x3ec920e5,
    0x3e9e62a2, 0x3ed77157, 0xbf0ddcdb, 0x3f83fce0,
    0xbf32e05b, 0x3fa1e50f, 0x3f07fdf3, 0x3e9e62d6,
    0x3e457805, 0xbeb0bc8c, 0xbd3e9069, 0x3e1d179d,
    0xbe501216, 0x3d959217, 0xbda5b9a4, 0xbda6f215,
    0xbd1cbb29, 0xbd8bda92, 0xbdf166d4, 0x3dcfa9d6,
    0x3d0724fc, 0x3ec696ec, 0x3e016de7, 0xbe978c58,
    0x3dc904ae, 0xbee41b8e, 0xbdcac093, 0x3e9b866e,
    0x3f2ad545, 0xbdaf5c06, 0xbe16935f, 0xbcf0a3f4,
    0x3e637a18, 0xbe15f401, 0xbdab59b9, 0x3de90aba,
    0xbe1937a2, 0xbd4247f7, 0x3e886e85, 0xbd98aa59,
    0xbe103de7, 0x3ded1eae, 0xbe925150, 0x3f6c69b8,
    0x3e5aedf3, 0xbf832ea5, 0xbe72bf12, 0x3e333f69,
    0x3e0090cc, 0x3ddea58b, 0x3f1c40ba, 0x3f527f4c,
    0x3edbd40e, 0x3df6ac75, 0x3e4b4458, 0xbf30f528,
    0x3d1ca7e7, 0x3e4ae6b1, 0x3ee83df6, 0x3e8377e0,
    0xbf48cbac, 0xbf94601f, 0xbf2e3381, 0xbf516bc8,
    0xbf2199ba, 0xbde3d46e, 0x3e1ea51d, 0xbdddad4f,
    0xbe79fdc3, 0x3ebea577, 0xbe350e2a, 0xbd785be3,
    0x3eb4f738, 0x3ec59a6a, 0x3eeac455, 0x3f72e4cb,
    0xbf17cf89, 0xbeb286bb, 0x3f3c143b, 0xbf3046d7,
    0x3e815981, 0x3ec27d05, 0xbe9d05b2, 0x3b845c2b,
    0xbe050980, 0x3eeb925f, 0xbe4ed80e, 0xbf88e9e5,
    0xbd027cf6, 0xbe7d7a0d, 0x3ec35b17, 0xbf093056,
    0x3d54b976, 0x3e1787a5, 0x3f3ea281, 0x3e03feac,
    0x3f32a8b9, 0x3d651d79, 0x3e27cd4f, 0xbe0d1367,
    0xbe3002b8, 0xbe1f88ff, 0x3df58795, 0x3f0c58c3,
    0xbd807db1, 0x3e57be9f, 0xbea0c621, 0xbf14fb58,
    0xbdf4d3f4, 0xbd2c9dfd, 0x3e8adc4f, 0x3edb2316,
    0xbe86fa6b, 0xbed01e12, 0xbe23ca91, 0x3ce1ea94,
    0x3dffe122, 0xbec7bc11, 0xbe45dfe5, 0x3dbd7a54,
    0x3f457c30, 0x3f063544, 0x3e40a752, 0xbeeef9f1,
    0x3e801f88, 0xbf1341ef, 0x3e4e3510, 0x3e5e6279,
    0xbcd5ace6, 0xbeeaafef, 0x3f3d676c, 0xbe77415d,
    0xbe89381a, 0x3df9b693, 0x3ed870c4, 0xbe383d73,
    0x3ed5f243, 0xbcfe0ed8, 0xbf433c43, 0x3e3e8fdb,
    0xbe28d19a, 0xbdef03db, 0x3f0e6b0b, 0xbef64b4f,
    0xbf662ace, 0x3f586bf3, 0x3f89833a, 0xbdac28d2,
    0x3e450812, 0xbe6cd861, 0x3f86eb62, 0xbeb0648a,
    0xbdd00700, 0xbee50638, 0xbf56cd21, 0xbe6a177b,
    0x3e3bb87e, 0x3f2ee90e, 0x3f896b6c, 0xbf5f7612,
    0xbfab3731, 0xbf4937ba, 0xbf39ec71, 0xbeeabd45,
    0x3eaa9869, 0x3e09d7df, 0xbec1e99b, 0xbf07a28b,
    0x3f3c7c39, 0xbf6cf188, 0x3f4ea09f, 0x3ea54dd8,
    0x3efca3c0, 0x3f359f54, 0xbec99ca8, 0xbeff465d,
    0x3c87de52, 0x3f5333f0, 0xbe28f50b, 0xbed99533,
    0x3db51807, 0xbf3e6d45, 0xbeb6cbbe, 0xbe3a9db3,
    0xbd201d05, 0xbe0098d3, 0x3dbe6d46, 0x3f2f1dd5,
    0x3e23d59d, 0xbd4e271d, 0xbec668e3, 0xbf00238f,
    0x3f2e711d, 0x3f88c208, 0x3f112713, 0x3f350be3,
    0x3f166cdd, 0xbe7c986e, 0xbd3da65b, 0xbe35be22,
    0x3ed97e2e, 0xbebe3724, 0x3d3cddf4, 0xbed3f80f,
    0x3ea6160d, 0xbed7ae71, 0xbe17fa4a, 0xbed55555,
    0x3e800000, 0x3eaaaaab, 0x0
    };

